Question

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

Answer 1

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]}