Question

Each statement describes a transformation of the graph of y = x. Which statement correctly describes the graph of y = x + 7? A. It is the graph of y = x translated 7 units up. B. It is the graph of y = x where the slope is increased by 7. C. It is the graph of y = x translated 7 units to the right. D. It is the graph of y = x translated 7 units down.

Answer 1

Answer: choice A, graph is moved 7 units up

The plus 7 at the end will shift the graph 7 units up. Replace y with f(x).

Then we have g(x) = f(x) + 7. Adding 7 to y = f(x) will increase the y value by 7.

Answer 2

The statement correctly describes the graph of y = x + 7 as choice A.

The graph is moved 7 units up

We have given that,

The graph of y = x.

What is the transformation of the graph?

Each statement describes a transformation of the graph of y = x.

The plus 7 at the end will shift the graph 7 units up.

Replace y with f(x).

Then we have g(x) = f(x) + 7.

Adding 7 to y = f(x) will increase the y value by 7.

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