Need #14
the center of the circle is (0,-8). the radius is 9.

C and D

Step-by-step explanation:

The equation of a circle is

(x - h)² + (y - k)² = r²      where (h,k) is the center, and r is the radius

Plug in what you were given, and simplify...

(x - 0)² + (y - (-8))² = 9²

  x² + (y + 8)² = 81

This is answer C.

We can get answer D by foiling out (y + 8)² and simpligying...

 x² + y² + 16y + 64 = 81

    x² + y² + 16y = 17    (subtract 64 from both sides)

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.