Question

What is the change that occurs to the parent function f(x) = x2 given the function f(x) = -2x2 + 2.

Answer 1

@mariah23 Do you mean f(x) = -2x^2 + 2?

Answer 2

yes

Answer 3

@mariah23 Okay so you need to find the values of a, h, and k.
Do you know what they are?

Answer 4

no

Answer 5

@mariah23 a, h, and k will tell you how the change occurs.
a will dictate how wide or thin your function is
h will tell you how many units it moves left or right on the x axis.
k will dictate how many units you function moves up and down the y axis on your graph.

Usually the function that is changing you parent function would be set up like f(x) = a(x-h)^2 + k
Have you seen this before?

Answer 6

@mariah23 When this f(x) = a(x-h)^2 + k is simplified you get ax^2-hx+k.
Since your function is f(x) = - 2x^2 + 2,
a = -2 and k = +2
There is no h in this equation so it is = to 0.
ANSWER:
Since A is less than 0 it will be reflected over the x axis and stretched by a factor of 2.
K will move up 2 units on the y axis.

does this help?