Question

Given the parent function

Answer 1

Option a is right.

Explanation:

Parent funciton is

`f(x) = x^3`

The new graph is

`f(x) = -2x^3`

Since there is no change for x, there is no horizontal shift.

BUt since sign is changed there is a reflection on the line y=0 i.e. x axis.

Also new y is -2x^3 , -2 indicates the vertical shrink by scale factor 1/2

Option a is right

i.e. there is a reflection on x axis also there is a compression of scale factor 2 vertically.

Answer 2

B

Explanation:

Function transformations are easy to do when you remember four rules:

• adding or subtracting in the function moves it left and right
• adding or subtracting outside the function moves it up or down
• multiplying and dividing to the function stretches or compresses it

Here the 2 is being multiplied to the function which vertically stretches the function.

The negative sign flips it over the x-axis.