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RSB [31]
3 years ago
13

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

Mathematics
1 answer:
Ivahew [28]3 years ago
5 0

Answer:

<h2>The standard form: x² + (y + 1)² = 25</h2><h2>The general form: x² + y² + 2y - 24 = 0</h2>

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   <em>(look at the picture)</em>.

Substitute:

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

<em>use (a + b)² = a² + 2ab + b²</em>

x^2+y^2+2y+1=25             <em>subtract 25 from both sides</em>

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

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According to the question,

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