Answer :

Answer:

Here's the answer and explanation:

1. The equation of the circle drawn above is:

(x - 0)^2 + (y - 0)^2 = 4^2

Explanation:

* The center of the circle is at the origin (0, 0).

* The radius of the circle is 4 units.

The standard equation of a circle is (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius. Substituting the values from the image, we get the equation above.

2. Graph of the second circle with the equation (x - 2)^2 + (y + 4)^2 = 9:

(Image of the graph of the circle (x - 2)^2 + (y + 4)^2 = 9)

Explanation:

* The center of the circle is at (2, -4).

* The radius of the circle is 3 units.

To graph the circle, plot the center point (2, -4) and then count 3 units in all directions to find points on the circle. Connect these points to form the circle.

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Answer:

[tex](x+1)x^{2} +(x-2)x^{2} +25[/tex]

Step-by-step explanation:

the formula for a circle is (x-h)^2 +(y-k)^2 + r^2 where (h,k) is the center of the circle.

the center of the circle is (-1, 2) so h=-1 and k=2

the radius is 5. square this to get 25