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) ā 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 ā 4 translates the function y = 2x down 4 units. But 2x ā 4 is also equal to 2(x ā 2), so y = 2x ā 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
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