Question

The function f(x) = x2 + 10x - 3 written in vertex form is f(x) = (x + 5)2 – 28. What are the coordinates of the vertex?

Answer 1

Answer:

(-5, -28)

Step-by-step explanation:

The vertex form of a quadratic function f(x) = ax² + bx + c:

f(x) = a(x - h)² + k

(h, k) - coordinates of a vertex

We have f(x) = x² + 10x - 3 in the vertex form f(x) = (x + 5)² - 28.

f(x) = (x - (-5))² + (-28) → h = -5, k = -28