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.