Question

Write the standard form of the equation for the parabola shown in the graph.

Answer 1

Answer : option A

From the graph

Vertex (-3,1)

Focus (-1,1)

The distance between vertex and focus is P

Distance between vertex and focus = -1 -(-3) = 2

P= 2

General equation for horizontal parabola is

$(y-k)^2= 4p(x-h)$

(h,k) is the vertex

Vertex (-3,1)  so h= -3  and k =1, we know p = 2

So equation becomes

$(y-1)^2= 4(2)(x-(-3))$

$(y-1)^2= 8(x+3)$

Answer : option A