Parent Function: (Red): y = x^2
My Function (Orange): y = 3(x – 4)^2 + 2
A, H, & K
Significance of A is to stretch or compress the parabola. If A is a larger number, then it will be compressed, but if A is a smaller number, like a fraction, it will be stretched and be wider on the graph. H determines whether the parabola is shifted up or down. The H in my equation has a value of 4 so it will be moved up 4. And finally, K is used to determine if the parabola is moved to the right or left of the origin. K can have negative or positive values to move the parabola to the left or right from 0.
1. Give an example from this assignment where you represented the same mathematical idea in multiple ways? I represented a mathematical idea in multiple ways by describing how “a” would affect any parabola, then explaining how it affected my parabola.
2. Give an example from this assignment where you used mathematical vocabulary to demonstrate your understanding. In this assignment I used mathematical vocabulary to explain how “a”, “h”, and “k” affect1 the parabola.
3. Give an example from this assignment where you used formatting to share the information in a clear and organized way. I used formatting to cleanly show the image of my parabola on a graph, my 2 functions, and the explanations of “a”, “h”, and “k”.