Question

How does the graph of the circle described by x2+(y−7)2=49 change when its equation is changed to (x+5)2+(y−4)2=64?

Select each correct answer.

The Circle's radius decreases

The circle's radius increases

The circle moves up

The circle moves down

The circle moves left

The circle moves right

Please help, I will give Brainliest and 30 points.

Answer 1

The circle moves down

the circle moves left

the circle's radius increases

I took the test

Answer 2

The circle radius increases , the circle moves down and the circle moves left.

What is circle?

A circle is special kind of "ellipse in which eccentricity is zero and the two foci are coincident".

According to the question,

The circle x² + (y-7)² = 49. When the given circle changes (x+5)² + (y-4)² = 64

Equation of the circle = (x-a)² + (y-b)² = r²

x² + (y-7)² = 49

(x-0)² + (y-7)² = (7)²

The circle has center (0,7) and radius is 7.

Circle changes (x+5)² + (y-4)² = 64

(x+5)² + (y-4)²  = (8)²

The circle has center (5,4) and the radius 8.

Below diagram clearly shows the circle radius increases , the circle moves down and the circle moves left.

Learn more about Circle here

https://brainly.com/question/14338946

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