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

1 Answer
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)