Question

Look at the quadratic function below. Which of these represents the equation in vertex form along with its solutions?

f(x) = ax² + bx + c
A. The equation is f(x) = a(x - h)² + k with solutions of x = p and x = q.
B. The equation is f(x) = a(x + h)² + k with solutions of x = p and x = q.
C. The equation is f(x) = a(x - h)² - k with solutions of x = p and x = q.
D. The equation is f(x) = a(x + h)² - k with solutions of x = p and x = q.

Answer 1

The vertex form of a quadratic equation is f(x) = a(x - h)² + k. The correct equation in vertex form with its solutions represented is A. The equation is f(x) = a(x - h)² + k with solutions of x = p and x = q.

Step-by-step explanation:

The vertex form of a quadratic equation is given by f(x) = a(x - h)² + k. In this form, the vertex of the parabola is represented by the point (h, k). The solutions of the quadratic equation can be represented by the values of x that make the equation equal to zero.

Given the options, the correct equation in vertex form with its solutions represented is A. The equation is f(x) = a(x - h)² + k with solutions of x = p and x = q.