Question

Write a quadratic equation to represent the circle graphed on the right

Answer 1

Answer:

The standard form: x² + (y + 1)² = 25

The general form: x² + y² + 2y - 24 = 0

Step-by-step explanation:

The equation of a circle:

$(x-h)^2+(y-k)^2=r^2$

(h, k) - center

r - radius

We have the center (0, -1) and the radius r = 5   (look at the picture).

Substitute:

$(x-0)^2+(y-(-1))^2=5^2\\\\x^2+(y+1)^2=25$

use (a + b)² = a² + 2ab + b²

$x^2+y^2+2y+1=25$             subtract 25 from both sides

$x^2+y^2+2y-24=0$