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

1 Answer
Meave60
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]}

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