How do you use the important points to sketch the graph of #y = (x + 4)^2 - 3#?

1 Answer
CrispyRounds
Jul 20, 2018

The important points are
#(-3,-2)#;
#(-2,1)#;
#(-5,-2)#;
#(-6,1)#

Explanation:

For the parent function of a quadratic equation #y=x^2#, the important points are #(1,1)#; #(2,4)#; #(-1,1)#; #(-2,4)#.

This equation is similar to the parent function but has shifted on the #x# and #y# axis.

The #-3# is the y-intercept on the line and means there is a #3# unit shift downward for all the #y# coordinates.

There is also a #4# unit shift left on all the #x# coordinates.

Using these rules, the important points are
#(-3,-2)#;
#(-2,1)#;
#(-5,-2)#;
#(-6,1)#

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