# Find the quadratic functionf(x) satisfying: the graph passes through the origin the vertex is ( -2 , -2 ) f(x)=1/2x^2+8x f(x)=1/2x^2-4x f(x)=-1/2x^2-2x f(x)=1/2x^2+2x f(x)=1/2x^2-2x

the graph passes through the origin
the vertex is ( -2 , -2 )
a)$f\left(x\right)=\frac{1}{2}{x}^{2}+8x$
b)$f\left(x\right)=\frac{1}{2}{x}^{2}-4x$
c)$f\left(x\right)=-\frac{1}{2}{x}^{2}-2x$
d)$f\left(x\right)=\frac{1}{2}{x}^{2}+2x$
e)$f\left(x\right)=\frac{1}{2}{x}^{2}-2x$
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Killaninl2
$Vertex:\left(-\frac{b}{2a},f\left(\frac{-b}{2a}\right)\right)$
$x=-\frac{b}{2a}=-\frac{2}{2\left(1/2\right)}=-2$
$f\left(-2\right)=\frac{1}{2}\left(-2{\right)}^{2}+2\left(-2\right)=2-4=-2$

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