Question

Luke used completing the square to find the maximum value of the quadratic expression −3x^2+6x+5. At which value of x does the maximum value occur?

A) x = 1
B) x = 2
C) x = -1
D) x = -2

Answer 1

The maximum value of the quadratic expression −3x^2+6x+5 occurs at x = 1.

Step-by-step explanation:

The student used completing the square to find the maximum value of the quadratic expression.

The given expression is -3x^2 + 6x + 5. To find the maximum value, we need to rewrite the expression in the form a(x - h)^2 + k, where (h, k) is the vertex of the parabola.

The maximum value occurs at the x-coordinate of the vertex. Using the formula x = -b/2a, we find that x = 1. Therefore, the maximum value occurs at x = 1 (option A).