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Q. 11

Expert-verifiedFound in: Page 155

Book edition
6th

Author(s)
Sullivan

Pages
1200 pages

ISBN
9780321795465

Match each graph to one the following functions.

$f\left(x\right)={x}^{2}-1$

The required graph is in option C.

The given function is:

$f\left(x\right)={x}^{2}-1$

The vertex of the function $f\left(x\right)=a{(x-h)}^{2}+k$ is localid="1645871716274" $(h,k)$. The graph opens up if localid="1645871721726" $a>0$ and it opens down if localid="1645871726821" $a<0$.

In the given function $a=1,h=0,k=-1$. So, the graph must be an upward parabola with vertex at localid="1645871788251" $(0,-1)$.

The required graph is in option C.

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