SOLUTION: Find an equation for the circle C with center at (3, -5) tangent to the y-axis. Find an equation for the parabola B with focus (3, 1) and directrix x = 7.

Question 314495: Find an equation for the circle C with center at (3, -5) tangent to the y-axis.
Find an equation for the parabola B with focus (3, 1) and directrix x = 7.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The general equation for a circle centered at (h,k) with a radius R is:

Tangent to the y-axis means that the x-distance from the center to y-axis is equal to R.
R=3
(h,k)=(3,-5)

.
.
.
The focus is located at (3,1).
The directrix is x=7.
The distance from the vertex to focus is equal to the distance from vertex to directrix.
The vertex is located at (5,1).
The general equation for a horizontal parabola is,

p is the distance from the focus to vertex.

(h,k) is the vertex.
{h,k)=(5,1)

RELATED QUESTIONS
Write an equation for the circle with center (-4,2) that is tangent to the... (answered by ewatrrr)

Find an equation of the circle with center at (-3,-3)that is the tangent to the y-axis in (answered by josgarithmetic)

Find an equation of the circle with center at(3,-1) that is tangent to the y-axis in the (answered by Edwin McCravy)

The circle is tangent to y-axis, and the center is at (5, 3). Find the equation of a... (answered by dkppathak)

What is the equation for a circle tangent to the y-axis with center of... (answered by Alan3354)

Find the standard form of the equation for the circle with the following properties.... (answered by greenestamps,ikleyn)

Find the equation of the circle Center C(4, -1), tangent to the... (answered by robertb)

Center (19,3), tangent to the x-axis. Find the equation for the... (answered by josgarithmetic)

Find the equation of the circle with center in the first quadrant, with radius 2 and... (answered by Theo,josmiceli)