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?
It is the graph of y = 2x translated 4 units to the right.
It is the graph of y = 2x translated 4 units downward,
It is the graph of y = 2x translated 4 units upward.
It is the graph of y = 2x translated 2 units to the right.
It is the graph of y = 2x stretched vertically 2 units upward.

Respuesta :

Answer:

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

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

Step-by-step explanation:

Recall that f(x) āˆ’ 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 āˆ’ 4 translates the function y = 2x down 4 units. But 2x āˆ’ 4 is also equal to 2(x āˆ’ 2), so y = 2x āˆ’ 4 also describes a translation to the right by 2 units.

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

What is vertical translation?

If y=f(x) then the vertical translation is caused by adding a constant outside the function, f(x).

y = 2x - 4 is adding a -4 in the function y = 2x, thus the graph moves 4 units downward on the y axis.

Learn more about vertical translation here

https://brainly.com/question/26187593

#SPJ3

Q&A Education