Question

complete the range of this quadratic function.

(y = x^2 + 2x)

(? \le y < \infty)

Explanation:

Find the x-coordinate of the vertex

$$ x_v = -\frac{b}{2a} = -\frac{2}{2(1)} = -1 $$

Find the y-coordinate of the vertex

$$ y_v = (-1)^2 + 2(-1) = 1 - 2 = -1 $$

Determine the range of the function

$$ y \ge -1 \implies -1 \le y < \infty $$

Answer:

Complete the range of this quadratic function.

<blank>-1</blank> \(\le y < \infty\)