3. Functions

In the following exercises, (a) find the center-radius form of the equation of each circle described, and (b) graph it. center (5, -4), radius 7

In the following exercises, (a) find the center-radius form of the equation of each circle described, and (b) graph it. center (-2, 5), radius 4

In the following exercises, (a) find the center-radius form of the equation of each circle described, and (b) graph it. center (√2, √2), radius √2

Use each graph to determine an equation of the circle in (a) center-radius form and (b) general form.

Use each graph to determine an equation of the circle in (a) center-radius form and (b) general form.

Give the center and radius of the circle represented by each equation. x²+y²+6x+8y+9=0

Give the center and radius of the circle represented by each equation. x²+y²-4x+12y=-4

Describe the graph of each equation as a circle, a point, or nonexistent. If it is a circle, give the center and radius. If it is a point, give the coordinates. x²+y²+4x-8y+32=0

Describe the graph of each equation as a circle, a point, or nonexistent. If it is a circle, give the center and radius. If it is a point, give the coordinates. x²+y²+4x+14y=-54

Describe the graph of each equation as a circle, a point, or nonexistent. If it is a circle, give the center and radius. If it is a point, give the coordinates. x²+y²+2x-6y+14=0

Describe the graph of each equation as a circle, a point, or nonexistent. If it is a circle, give the center and radius. If it is a point, give the coordinates. x²+y²+4x+4y+8=0

Describe the graph of each equation as a circle, a point, or nonexistent. If it is a circle, give the center and radius. If it is a point, give the coordinates. x²+y²-2x+12y-12=0

Work each of the following. Find the equation of a circle with center at (-4, 3), passing through the point (5, 8).Write it in center-radius form.

Find the distance between each pair of points, and give the coordinates of the midpoint of the line segment joining them. P(3, -1), Q(-4, 5)

Find the distance between each pair of points, and give the coordinates of the midpoint of the line segment joining them. M(-8, 2), N(3, -7)