Question

Select all the correct answers. Annie transforms the graph of y = 2x into the graph of y= 2x - 4. Which statements correctly describe this transformation?

Answer- Plato; It is the graph of y=2x translated 4 units downward. & It is the graph of y=2x translated 2 units to the right.​

Answer 1

It is the graph of y = 2x translated 4 units downward.

It is the graph of y = 2x translated 2 units to the right.

Explanation:

Recall that f(x) − k is a vertical translation that translates f(x) down k units. And, a vertical translation also translates a function horizontally, and vice versa. So, y = 2x − 4 translates the function y = 2x down 4 units. But 2x − 4 is also equal to 2(x − 2), so y = 2x − 4 also describes a translation to the right by 2 units.

Answer 2

It is the graph of y=2x translated 4 units downward

Explanation:

Given

`y = 2x` to
`y' = 2x - 4`

Required

We have:

`y = 2x`

Subtract 4 from both sides [In other words, shift downward by 4 units]

`y - 4 = 2x - 4`

This implies that:

`y' = y -4`

Substitute
`y = 2x`

`y' = 2x -4`