Question

Select the correct answer.

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 down.
B.
It is the graph of y = x translated 7 units to the right.
C.
It is the graph of y = x where the slope is increased by 7.
D.
It is the graph of y = x translated 7 units up.

Answer 1

A

Explanation:

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

D. it is the graph of y=x translated 7 units up

Explanation:

The equation is in the form of y=mx+b, b being the y-intercept of the line. Because b in this case is 7 and the slope is just one, the only transformation was that the graph was shifted 7 units up