Question

pretest: quadratic relationships
a. y ≤ 1
b. all real numbers
c. y ≥ 1
d. -4 ≤ y ≤ -2

Explanation:

Step1: Analyze the parabola's direction

The parabola opens downward (since the coefficient of \(x^2\) is negative, as the graph decreases after the vertex).

Step2: Find the vertex's y - coordinate

Looking at the graph, the vertex is between \(x = - 4\) and \(x=-2\). By observing the grid, the maximum y - value (vertex) is \(y = 1\) (since it's 1 unit above the x - axis).

Step3: Determine the range

For a downward - opening parabola, the range is all real numbers less than or equal to the y - coordinate of the vertex. So the range of the function is \(y\leq1\).

Answer:

A. \(y\leq1\)