Question

Assume that equation 1, f(x) = x2 (the black parabola), is the parent quadratic function. Equation 2, g(x) = (x − c)2 (the blue parabola), and equation 3, h(x) = x2 + d (the red parabola), are transformations of the parent function for various values of c and d. What happens as you change the values of c and d?

Answer 1

In the function f(x) = (x − c)2, a positive c-value moves the graph to the right and a negative c-value moves the graph to the left.

In the function f(x) = x2 + d, a positive d-value moves the graph up and a negative d-value moves the graph down.

Explanation:

Answer 2

In the function f(x) = (x − c)2, a positive c-value moves the graph to the right and a negative c-value moves the graph to the left.

In the function f(x) = x2 + d, a positive d-value moves the graph up and a negative d-value moves the graph down.

Explanation: