# How to graph a parabola y= 1/4(x-2)^2?

Jun 5, 2015

Problem: How to graph a parabola with the equation $y = \frac{1}{4} {\left(x - 2\right)}^{2}$

Simplify the equation.

$y = \frac{{\left(x - 2\right)}^{2}}{4}$

Make a table of $x$ and $y$ values. Include positive and negative values for $x$.
$\textcolor{red}{x} , \textcolor{b l u e}{y}$
$\textcolor{red}{- 4} , \textcolor{b l u e}{9}$
$\textcolor{red}{- 2} , \textcolor{b l u e}{4}$
$\textcolor{red}{0} , \textcolor{b l u e}{1}$
$\textcolor{red}{2} , \textcolor{b l u e}{0}$
$\textcolor{red}{4} , \textcolor{b l u e}{1}$
$\textcolor{red}{6} , \textcolor{b l u e}{4}$

Plot the points and draw the parabola.

graph{y=((x-2)^2)/4 [-16.03, 16, -8.01, 8.01]}