Question

HELPPPPPP ! Patrick drew the incorrect graph shown below to represent the circle (x – 1)2 + (y + 3)2 = 4

Which statement explains why Patrick’s graph is incorrect?

The radius of the circle should be 2 instead of 4.

The center of the circle should be (1, 9) instead of (1, -3).

The center of the circle should be (-1, 3) instead of (1, -3).

The radius of the circle should be 16 instead of 4.

Answer 1

Kindly clarify. Is the circle equation in this form? (x – 1)^2 + (y + 3)^2 = 4

Answer 2

YES

Answer 3

I think the first choice is the answer since the radius of the circle is sqrt4.

Answer 4

thanks! but im gonna get a second opinion just in case

Answer 5

no prob

Answer 6

I second allank.

Answer 7

how so

Answer 8

This might make it clearer.
http://tutorial.math.lamar.edu/Classes/Alg/Circles.aspx

Answer 9

***Quote from the link***
(x-h)^2+(y-k)^2=r^2
This is the standard form of the equation of a circle with radius r and centre (h,k).

The equation is (x – 1)2 + (y + 3)2 = 4
Meaning that the radius is sqrt of 4 = 2.
In the figure, the radius is about 4. Thus the answer is the first choice.

Answer 10

okay i trust u guys thanks!

Answer 11

You're welcome :)