Transforming Parabolas

Red Dashed (0,0): f(x)=x^{2}

This parabola has a vertex of (0,0). It does not have a horizontal or vertical shift since the (h) and (k) value is both (0). It also does not have a horizontal or vertical stretch since there is no (a) value. X= all real numbers. Y>or=0. The point of symmetry is (x= 0). The parabola opens upwards.

Blue Solid (0,4): f(x)=x^{2}+4

This parabola has a vertex of (0,4). It has no horizontal shift since the (h) value is (0), but there is a vertical shift since the (k) value is (4). It does not have a horizontal or vertical stretch because there is no (a) value. X= all real numbers. Y >or= 4. The point of symmetry is (x= 0). The parabola opens upwards.

Green Solid (0,-4): f(x)=x^{2}-4

This parabola has a vertex of (0,-4). It has no horizontal shift since the (h) value is (0), but there is a vertical shift since the (k) value is (-4). It does not have a horizontal or vertical stretch because there is no (a) value. X= all real numbers. Y >or= -4. The point of symmetry is (x= 0). The parabola opens upwards.

Purple Solid (-6,0): f(x)=(x+6)^{2}

This parabola has a vertex of (-6,0). It has a horizontal shift since the (h) value is (-6), but is not a vertical shift since the (k) value is (0). It does not have a horizontal or vertical stretch because there is no (a) value. X= all real numbers. Y >or= 0. The point of symmetry is (x= -6). The parabola opens upwards.

Black Solid (6,0): f(x)=(x-6)^{2}

This parabola has a vertex of (6,0). It has a horizontal shift since the (h) value is (6), but there is not a vertical shift since the (k) value is (0). It does not have a horizontal or vertical stretch because there is no (a) value. X= all real numbers. Y >or= 0. The point of symmetry is (x= 6). The parabola opens upwards.

Purple Dashed (3,-3): f(x)=-6(x-3)^{2}-3

This parabola has a vertex of (3,-3). It has a horizontal shift since the (h) value is (3), it has a vertical shift since the (k) value is (-3). It has a vertical stretch since the (a) value is (-6). X= all real numbers. Y <or= -3. The point of symmetry is (x= 3). The parabola opens downwards.

Black Dotted (-3,-3): f(x)=-1/2(x+3)^{2}-3

This parabola has a vertex of (-3,-3). It has a horizontal shift since the (h) value is (-3), it has a vertical shift since the (k) value is (-3). It has a horizontal stretch since the (a) value is (-1/2). X= all real numbers. Y <or= -3. The point of symmetry is (x= -3). The parabola opens downwards.

Communication Core Competency Reflection

I can understand and share information in a clear, organized way while working on my project, I used different colors which correlate to each of their parabolas on the graph. This was done to make a clear and easy to follow way of describing each of my parabola equations. While describing each parabola, I demonstrated how with each change of the (a), (h), and (k) made in impact and transformations of the graph weather that was moving it up, down, left, right, facing up or down, and even making it more narrow or wide.

I think about what I am going to convey and to whom I will convey it to while working on my project. I did this my using accurate mathematical vocabulary so that it was clear what I was referring to during each of my equations. I also demonstrated this while breaking down and clearly showing each equation so that whomever is being conveyed by this can clearly follow and understand what is being shown.

Domain & Range

𝑩−3=4(đ‘„+1)

Domain: x ∈ R (all real numbers)

Range: y ∈ R (all real numbers)

The domain refers to all possible values of x

Range refers to all possible values of y.

This graph is a function because at no point does the x have more then one value and this is a one to one function because at no point does both x and y have more then one value.

Self- Assessment

Give an example from this assignment where you represented the same mathematical idea in multiple ways. A time I represented this was when I stated 𝑩−3=4(đ‘„+1) as “Domain: x = ∈ R, Range: y = ∈ R”.

Give an example from this assignment where you used mathematical vocabulary to demonstrate your understanding. An example of this was when I stated “x ∈ R” which mean that x equals all real numbers.

Give an example from this assignment where you used formatting to share the information in a clear and organized way. An example of this was when I used headings to separate and clearly state what the next information is on.

La Nourriture et les Courses

Shopping for Food in France

Core Competency Reflection

If there is disagreement within the group, I find it helpful to stop what we are all doing and working on so that we are able to have a discussion together and agree upon a common goal.

I know the group is working well together when I hear everyone communicating together and keeping all discussions on the task which we are working on.

One goal I have for myself is to not just work on an assignment during school hours, but also taking extra time after school hours to compete the assignment and communicate with my group members about the work I will be competing while to in person with them.

Advertisement Persuasion Project

It is important to know who benefits because it is still the company who gets the money their customers spends and profits from them. Even if one is thinking they are getting a good deal, the really are not.

I believe that logical is the most effective way to persuade an audience if it is a good quality product because one is showing the audience how well built or made there product is. On the other hand, if the company build a more poor product, ethical and emotional persuasion is more effective since the states on their product might not be helpful if they advertise it.

Testimonial is an effective advertising technique as we see it in ads all the time. For example, if one is on the edge of deciding if they would like to buy a product or not, their pushing point might be seeing someone famous who is using that brand and then they decide to buy it because of this person.

I knew my group is working well together when I heard communication amongst our group members. It is important to communicate between your group so it’s easier for everyone to work well together.

I used to think the customers got a deal through advertisement now I know the company is only wanting to profit themselves. They will make sales like buy two get one free and thought that might seem like a good deal, they are truly just wanting to make profit.

When my group was not productive, we had a discission in order to get things moving in the right direction. This help us so we all knew what we needed to do and knew what our other group members were doing.

Capitol Mutation Collaborative Project

My Project

Collaborating Core Competency Reflection

One of the ways I ensure my group is clear on the common purpose is to discuss what we will do before getting into the project. It is also important to communicate during our project and seeing areas which might need extra time on.

I know the group is working well together when I see people on task and hear them communicating. It is very important to communicate during group activities to the group all knows what each person is doing.

When I work collaboratively with people I don’t know well ,I try to briefly get to know them a bit so we are not strangers to each other.

If there is a disagreement between the group, I find it helpful to see both peoples perspective. One person then might understand what the other person is saying and they will agree with them.

My First Year

This year I enjoyed English. Usually, I find English to be a challenge for me and I have never enjoyed it. Though, this year Mrs. Gauer has made English an enjoyable journey. I have been getting better grades this year in English then my previous years. I have also expanded my vocabulary, fixed my grammar, and fixed my punctuation.

Math Antics | Basic Math Videos and Worksheets

The reason I chose this website is because this is a website that has helped me with math in the past and the present. It gave great examples and comparisons to real life which allowed me to understand the concept better.

The reason I chose this video is because climate change is an important and current thing we all need to understand. This video gives us important information while also engaging the audiences.

The reason I chose this image is because this is the photo of when the railway was complete. This was an important piece of Canadian history as the railway is complete allowing people to travel faster and allow people to transport items more quick and efficiently.

“You miss 100% of the shots you don’t take”

-Wayne Gretzky

The reason I chose this quote is because this is not just a true quote for sports, but also for school and life. If you don’t try something like a course or club, you’ll never know what it’s like. If you do try it, you may find yourself enjoying it quite a lot.

Math Antics | Basic Math Videos and Worksheets. https://www.mathantics.com/. Accessed 16 Apr. 2024.

National Geographic. Climate Change 101 with Bill Nye | National Geographic. 2015. YouTube, https://www.youtube.com/watch?v=EtW2rrLHs08.

Ralph, Joel. “The New Digital History Education: 10 Photos That Changed Canada.” The New Digital History Education, 7 Aug. 2008, https://digitalhistoryeducation.blogspot.com/2008/08/10-photos-that-changed-canada.html.

Social Studies 9: Final Reflections

Semester Reflection

Ethical Judgment

This semester, I completed an independent historical fiction novel study by reading Son of the Blood Hounds, which is about a boy who taken as a prisoner along with his father by the Yankees. He, along with a few fellow prisoners escape, although his dad was not one of them. He joins the British army to defend Canada and joins a group in the army known as “The Bloody Boys” who’s mission is to ambush the Yankees even with low numbers of soldiers.

This project helped me understand ideas should or should not be emulated by showing the long term effect and how much blood and chaos it causes perhaps even for their own people. Recently, Russia has tried to takeover Ukraine because Russia wanted more land. This has brought a lot of harm and damage into peoples lives especially Ukrainians, but Russia also thought this would be an easy task, but to their surprise the Ukrainians have so far been able to hole them off. This is the same thing the Americans tried to do in the 1800s.

I use express myself with concrete evidence by researching online and finding really and important evidence to support my thinking. I did this in the second question by researching an example of a real, recent event so I could support my claim.

This is significant in life today because there is a lot of false information online and you need to find the true and also important information to support whatever it is you are doing.

Core Competency Reflection

I can examine and evaluate to improve my own work; evidence of that is in the independent novel studies project. I felt, over the weeks i have improved my reading and writing skills from before we started the project.

I have valuable ideas to share about and do so by sharing it to the class my raising my hand instead of keeping the thought to myself.

While completing my part D project assignment I faced uncertainty so I asked you for help to be able to complete the assignment to the fullest of my abilities.

French 9: Final Reflection

Semester Reflection

Reflection

I have found that i have improved most on my verbal skills in French this year. I am needing to improve on my writing for French this year. My most proud assignment of the year would be my exit interview. I felt I have improved on my vocab and I thought that would show it. I would try to add more detail in my final answer because mine was kind of bland.

Core Competencies

I have valuable ideas to share about and do so by sharing it to the class my raising my hand instead of keeping the thought to myself which also allows me to practice my vocab.

I am an avid learner because I am always trying to improve my French speaking and writing skills.

Scale Factor Project Reflection

Core Competency Reflection

One of the ways I ensure my group is clear on the common purpose is to, one the first day, have a group meeting and have everyone take a part and do that part, then have a few check-ins with your group to make sure everyone is doing their assigned part.

I know the group is working well together when I hear positive feedback and communication. I feel like this is very important to have in a group activity because hard and unhealthy to work in a toxic environment and it is important to know what other members of your group is feeling and if they have any questions or other things to bring up.

The ways I communicate at school differ from how I communicate at hockey in these ways: usually in hockey you use a more forceful/aggressive tone, were in school you would just talk normally. In school you are more patience with your classmates and in hockey things need to be done in the moment.

ADL Social Studies- Ethical Judgement 

Is Violence justified in a Revolution?

A) How did the use of AI assist you in developing this project?

The AI assisted me in my project by searching thing that I wanted to know and only showed the key points, but also sourced where they got it from.

B) How did you ensure that the work you created was still your own, rather than just a product of the AI?

I ensure that the work I created was still my own, rather than just a product of the AI by using the AI’s thinking, but changed it in my own words so that I am not copying its work word for word even though i still used to work the AI used.

C) Did you agree with the position you had to argue? Why or why not? 

Yes I do agree that violence in a revolution is justified because if there is a situation that is very bad and the government is not changing with just protesting, then i do believe that violence is justified in a revolution.

Core Competency Reflection 

I use evidence to make judgements or decisions as demonstrated in this project when I searched up events when violence was used in a justified way. One of my examples was the 1989 Tiananmen Square protest. Student were peacefully protesting and the government sent in soldiers and tanks to shoot at the protesters, so the protesters fought back and one would believe that this would be justified time to have violence in a revolution.

When I need to work collaboratively with people I don’t know well, I feel like I can focus more and not get off task. Another things is that I then get to know someone new who I might never have know if we did not do this group project.