How do you graph # y=(x+3)^2+4#?

1 Answer
May 5, 2018

See below.

Explanation:

This equation is in vertex form, where #(h,k)# is the vertex.

Hence,

Vertex ( -3 , 4 )

When #x=0#,

#y=3^2+4#
#color(white)(y)=13#

Y-intercept ( 0 , 13 )

When #x=-6# ( choose any point you want )

#y=(-3)^2+4#
#color(white)(y)=13#

( -6 , 13 )

Plot these three points and connect with a smooth curve and you should get something like this:

Graph:

graph{(x+3)^2-4 [-10, 10, -5, 5]}