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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.​

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MrRoyal

Answer:

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

Step-by-step explanation:

Given

[tex]y = 2x[/tex] to [tex]y' = 2x - 4[/tex]

Required

We have:

[tex]y = 2x[/tex]

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

[tex]y - 4 = 2x - 4[/tex]

This implies that:

[tex]y' = y -4[/tex]

Substitute [tex]y = 2x[/tex]

[tex]y' = 2x -4[/tex]

ipenman123

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) − 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.

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