Question

What is the VERTEX of the quadratic y = 2

(x + 4)² + 1
A(4,1)
B(-4,1)
Please explain if you know

Answer 1

the vertex is located at (-4, 1)

Explanation:

The vertex equation of a vertical parabola is

y = a(x - h)^2 + k

where (h, k) is the vertex.

Comparing this to the given

y = 2(x + 4)² + 1, we see that the vertex is located at (-4, 1) and that the graph is stretched vertically by a factor of 2.

Answer 2

The vertex is ( -4,1)

Explanation:

The equation for a parabola can be written as

y = a( x-h)^2 +k where ( h,k) is the vertex

y = 2 (x + 4)² + 1

Rewriting

y = 2 (x - -4)² + 1

The vertex is ( -4,1)