# Chapter 2 - Section 2.2 - Quadratic Functions - Exercise Set - Page 330: 9

The required value is $\left( 3,\ 1 \right)$

#### Work Step by Step

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 $x=h$. Now, the coordinates of the vertex of the parabola are $\left( h,\ k \right)$. Consider the provided function $f\left( x \right)=2{{\left( x-3 \right)}^{2}}+1$. Compare the function with the standard form. The point $\left( h,\ k \right)$ is $\left( 3,\ 1 \right)$

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