The problem tells by what factor and direction the graph of the given function is to be stretched or compressed. Give an
equation for the stretched or compressed graph.
-$y = x ^ { 2 } + 4 \quad$ compressed vertically by a factor of 2
A) $y = \frac { x ^ { 2 } } { 2 } + 4$
B) $y = 2 x ^ { 2 } + 8$
C) $y = \frac { x ^ { 2 } } { 2 } + 2$
D) $y = 4 x ^ { 2 } + 4$

Question

Quizplus · Accepted Answer

When a function is compressed vertically by a factor of 2, the equation becomes $y = \frac{1}{2}f(x)$. In this case, $f(x) = x^2 + 4$, so we get $y = \frac{1}{2}(x^2 + 4) = \frac{x^2}{2} + 2$. Thus, the compressed equation is option C.

The Problem Tells by What Factor and Direction the Graph y=x2+4y = x ^ { 2 } + 4 \quady=x2+4

The Problem Tells by What Factor and Direction the Graph $y = x ^ { 2 } + 4 \quad$