### Home > A2C > Chapter Ch11 > Lesson 11.3.1 > Problem 11-128

11-128.

For each equation below, identify the shape of the graph, list all of the necessary information, and sketch a graph. Homework Help ✎

(

*x*− 4)^{2}+ (*y*+ 2)^{2}= 253

*x*+ (*y −*2)^{2}= 10

What does the parent graph look like? Notice the terms are added.

What is the center? Is the major axis vertical or horizontal?

This equation has the form (*x* − *h*)^{2} + (*y* − *k*)^{2} = *r*^{2}. What is this shape?

What is the center and radius?

What does the parent graph look like? Notice the terms are subtracted.

Find the center, foci, and vertices.

When you isolate the *x* term, the equation becomes:

This is a sleeping parabola.