Show all of your work! i will mark the brainliest nd gve !
1.find the standard equation of a circle with its center at (2, 8) and a radius of 10.
2. find the standard equation of a parabola with its vertex at (2, 2) and a focus at (2, 5).
3. find the standard equation of a parabola with its vertex at (5, 2) and a directrix x =3.

Step-by-step explanation:

1. Equation of a circle:

(x - h)² + (y - k)² = r²

where (h, k) is the center and r is the radius.

If (h, k) is (2, 8) and r = 10:

(x - 2)² + (y - 8)² = 100

2. The vertex and focus have the same x-coordinate, so this is a vertical parabola.  Equation of a vertical parabola is:

y = 1/(4p) (x - h)² + k

where (h, k) is the vertex and p is the distance from the vertex to the focus.

If (h, k) is (2, 2) and p = 5-2 = 3:

y = 1/12 (x - 2)² + 2

3. The directrix is a vertical line, so this is a horizontal parabola.  Equation of a horizontal parabola is:

x = 1/(4p) (y - k)² + h

The distance between the directrix and the vertex is the same as p.

If (h, k) is (5, 2) and p = 5-3 = 2:

x = 1/8 (y - 2)² + 5

describing distributions is one of the key skills you’ll need to earn a high score on the ap statistics exam. if you need proof of this, just flip through some past exam questions, which can be found at the collegeboard website. you’ll notice that the first free response question is almost always a question requiring you to look at a graph and describe it.

step-by-step explanation: just trying to get points sorry : (

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