Question

The coordinates of the focus and the
vertex of thé parabola y2 = -4x,
respectively are....​

Answer 1

Answer:

Given Vertex (3,7) and focus (5,7).

It can be easily noticed that focus and vertex lie on the same horizontal line y = 7.

Obviously, the axis of symmetry is a horizontal line ( a line perpendicular to y-axis).Also, the focus lies to the right of the vertex so the parabola will open up rightward.

(y − k)^2 = 4a(x − h)

a = 5 - 3 = 2 as y coordinates are the same.

Since the focus lies to the left of vertex, a = 2.

(y - 7)^2 = 4⋅2.(x - 5)

(y - 7)^2 = 8(x - 5) is the equation of the parabola.

Step-by-step explanation: