The graph of $f ( x ) = x ^ { 2 } - 4$ is the graph of y = $x ^ { 2 }$
A) shifted 4 units to the right.
B) shifted 4 units to the left.
C) shifted up 4 units.
D) shifted down 4 units.

Question

Quizplus · Accepted Answer

The graph of $f(x) = x^2 - 4$ is the graph of $y = x^2$ shifted down 4 units because the subtraction of 4 from $x^2$ lowers the entire graph by 4 units on the y-axis.

The Graph Of f(x)=x2−4f ( x ) = x ^ { 2 } - 4f(x)=x2−4

The Graph Of $f ( x ) = x ^ { 2 } - 4$