Question

What effect will replacing x with (x - 4) have on the graph of the equation y = (x - 3) ^ 2 ?

a. slides the graph 7 units down
b. slides the graph 4 units up
c. slides the graph 1 unit right
d. slides the graph 4 units right

Answer 1

d. slides the graph 4 units right

Explanation:

When you replace x with x - h, the graph shifts h units horizontally.

Here, the replacement is x - 4.

Compare x - 4 to x - h.

h = 4

The shift is 4 units right.

Answer: d. slides the graph 4 units right