## Precalculus (6th Edition) Blitzer

$f\left( x \right)=2{{\left( x+8 \right)}^{2}}-6$
The quadratic function in its standard form can be written as $f\left( x \right)=a{{\left( x-h \right)}^{2}}+k,\,\,\,\,\,\,\,\,a\ne 0$. Here, $a,\ h,\ k$ are constants and $x$ is a variable. The graph of $f\left( x \right)$ is a parabola which is symmetric about the line $x\ =\ h.$ The coordinates of the vertex of the parabola is $\left( h,\ k \right)$. Put $a=2,\ h=-8,\ k=-6.$ Thus, the function in standard form with shape similar to the given function and vertex at $\left( -8,-6 \right)$ is written as $f\left( x \right)=2{{\left( x+8 \right)}^{2}}-6$.