Question

Given the parent function

Answer 1

The correct option is B Expanded vertically by a factor of 10

Explanation:

The function is a parabola

If wee see the original graph of parent function is shown as red in the figure attached and the graph of related function is in blue color so we can clearly see that the function is expanded vertically by a factor of 10.

See the attached figure for comparison

Answer 2

Option c is right.

Explanation:

Given is a parabola y =x^2

From that transformation is done to get parabola as

y =(0.2x)^2

We find that instead of x here we use 0.2x

i.e. New x = 5 times old x

Hence there is a horizontal expansion of scale factor 5.

We can check with any point also

When y =4, x=2 in the parent graph

But when y =4 , we have x = 10 in the new graph

i.e. there is a horizontal expansion of scale factor 5.