SOLUTION: Consider the parabola y=x^2 +4x -3. Find the coordinates of the focus. The correct answer is one of the following. Which one is correct? A) (-2,-6.75) B) (2,6.75) C)

Question 1199101: Consider the parabola y=x^2 +4x -3.
Find the coordinates of the focus.
The correct answer is one of the following. Which one is correct?
A) (-2,-6.75)
B) (2,6.75)
C) (-2,-6)
D) (-2,-5.75)
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Complete the square to put the equation in vertex form. Vertex form is

The vertex is (h,k); p is the directed distance from the directrix to the vertex and from the vertex to the focus.

The vertex is (-2,-7); 1/(4p) = 1, so p = 1/4.

The parabola opens upward, so the focus is p units above the vertex: -7 + 1/4 = -6.75.

ANSWER A) (-2,-6.75)

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