Question

Identify the vertex and tell why? y=x²+16x+71

Answer 1

The vertex of the given parabola is located at (-8, -57).

Step-by-step explanation:

The given equation is y = x² + 16x + 71. To identify the vertex, we need to convert the equation to the vertex form which is y = a(x - h)² + k, where (h, k) represents the vertex.

By completing the square, we can rewrite the equation as y = (x + 8)² - 57.

Comparing this form to the vertex form, we can see that the vertex of the parabola is (-8, -57).