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

1 Answer
Jun 5, 2015

Problem: How to graph a parabola with the equation y=1/4(x-2)^2

Simplify the equation.

y=((x-2)^2)/4

Make a table of x and y values. Include positive and negative values for x.
color(red)x, color(blue)y
color(red)(-4),color(blue)9
color(red)(-2),color(blue)4
color(red)0,color(blue)1
color(red)2,color(blue)0
color(red)4,color(blue)1
color(red)6,color(blue)4

Plot the points and draw the parabola.

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