Question

What is the vertex of the following quadratic equation?

y = 7(x + 5)2 + 4

A. (5,4)
B. (-4,5)
C.(-5, 4)
D. (7,-4)

Answer 1

C.(-5, 4)

Explanation:

The vertex form of a parabola of this type is:

y = a ( x − h ) 2 + k [1]

where ( h , k ) is the vertex.

Explanation:

Given:

y = 7 ( x + 5 )² + 4 [2]

We can convert equation [2] into the same form as equation [1] by writing

+5 as − − 5 :

y = 7 ( x − − 5) ² + 4 [3]

We observe that the vertex is

( − 5 , 4 )

hope it will help :)