Question

How would the graph of the function y=x2-8 be affected if the function were changed to y=x2-3

A) the graph would shift 3 units down
B) the graph would shift 5 units to the left
C) the graph would shift 5 units down
D)the graph would shift 5 units up

Answer 1

D) The graph would shift 5 units up.

Explanation:

f(x) + n - shift the graph n units up

f(x) - n - shift the graph n units down

f(x - n) - shift the graph n units to the right

f(x + n) - shift the graph n units to the left

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We have f(x) = x² - 8

f(x) = x² - 8 add 5 to both sides

f(x) + 5 = x² - 3

Therefore your answer is D)