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# Help

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A portion of the graph of a quadratic function \$f(x)\$ is shown below.  Let \$g(x)=-f(x)\$ and \$h(x)=f(-x)\$. If \$a\$ is the number of points where the graphs of \$y=f(x)\$ and \$y=g(x)\$ intersect, and \$b\$ is the number of points where the graphs of \$y=f(x)\$ and \$y=h(x)\$ intersect, then what is \$10a+b\$? Jul 24, 2018

### 1+0 Answers

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g(x) = -f(x)  will "flip" the graph of f(x) over the  x axis.....it will intersect with f(x)  in two places - at the points where f(x)  intersects the  x axis...so  "a"  = 2

h(x)  = f(-x) will  "flip" the graph of f(x) across the  y axis..it wil intersect with  f(x)  in one place - at the point where f(x) intersects the y axis...so...."b" = 1

So  10a + b  =   10(2) + 1  =   20 + 1   = 21   Jul 24, 2018