Parent Function:

Vertex: (0,0)

Axis of symmetry: x=0

X intercept(s): (0,0)

Y intercept(s): (0,0)

Domain: All Real Numbers

Range: y≥0

Minimum Value: 0

My Equation:

Vertex: (4,2)

Axis of symmetry: x=4

X intercept(s): N/A

Y intercept(s): (0,50)

Domain: All Real Numbers

Range: y≥2

Minimum Value: 2

Comparison:

How my equation differs from the parent function.

My equation has a few transformations that differ from the parent function. First my equation has a vertical shift up two. This can be seen in the photo since the vertex has a y value of 2. It can be seen in my equation by looking at the k value (+2). My equation also has a horizontal shift, this can be seen in the photo since the x value of the vertex is 4. Even though in my equation it is -4 the sign flips since in the preliminary equation it is (x-h) and you can’t have two negatives side by side. Since h starts negative then the -4 turns positive. My parabola is also compressed compared to the parent function. This is because my equation has an a value of 3. This is the coefficient which effects the width of the parabola.

Self Assessment:

1. Give an example from this assignment where you represented the same mathematical idea in multiple ways?

I used the graph from Desmos as a visual representation. Each equation had their own photo and one together for comparison. I also wrote out the characteristics of each parabola below their photo to show differences numerically. Then I wrote and described in a paragraph how the two were different.

2. Give an example from this assignment where you used mathematical vocabulary to demonstrate your understanding.

I used mathematical vocabulary in this assignment when I was describing the characteristics of the parabolas. (Vertex, axis of symmetry, x intercept, y intercept, domain, range, minimum value.) I also used it in my paragraph. (Transformation, parent function, vertical shift, horizontal shift, preliminary equation, parabola, compressed, coefficient.)

3. Give an example from this assignment where you used formatting to share the information in a clear and organized way.

I used headings and kept everything in order with the rubric. I kept my graphs to an appropriate size. I made my paragraphs evenly spaced.