Using the given information write the parabola has the focus at (3, 12) and the vertex at (−2, 12).

Question

Using the given information write the parabola has the focus at (3, 12) and the vertex at (−2, 12).

Answer 1

Vertex (-2,12)

Focus (3,12)

since the y value stayed the same but the x changed that means it will open horizontally

x=(1/4p)(y-k)² + h

find the distance from focus to vertex x value: 3 - (-2) =5

That is your p value, the focal distance from vertex

x= (1/4(5))(y-k)²+ h

now you can replace the vertex (-2,12) into the equation

x= 1/20(y-12)² -2

I hope this helps. Have a great day!

Mrs. S.