Answer:
the answer is correct, "D"
Step-by-step explanation:
(wider than and opens in the opposite direction of) just took the test, made a 90%
y = -0.2*x^2 is a vertical dilation of scale factor 0.2 followed by a reflection over the x-axis of y = x^2
We have two functions:
f(x) = x^2
g(x) = -0.2*x^2
The transformations used are:
Reflection over the x-axis.
For a function f(x), a reflection over the x-axis is written as:
g(x) = -f(x).
Vertical dilation.
For a function f(x), a vertical dilation of scale factor k is written as:
g(x) = k*f(x).
So here we can see that we have a vertical dilation of scale factor 0.2, followed by a reflection over the x-axis.
g(x) = -0.2*f(x).
So, g(x) opens in the opposite direction than f(x), and grows slower (because of the dilation).
If you want to learn more about transformations, you can read:
https://brainly.com/question/4289712
