Question

which of these statements are true for the parabola shown here? select all that apply. (select all that apply.) vertex on the y - axis concave down one positive x - intercept one negative y - intercept line of symmetry at y = 3

Explanation:

Step1: Identify vertex position

The vertex of the parabola lies on the positive x - axis, not the y - axis. So "Vertex on the y - axis" is false.

Step2: Determine concavity

The parabola opens downwards, so it is concave down. This statement is true.

Step3: Check x - intercepts

The parabola intersects the x - axis at two positive x - values. So "One positive x - intercept" is false.

Step4: Check y - intercepts

The parabola intersects the y - axis at a negative y - value. So "One negative y - intercept" is true.

Step5: Identify line of symmetry

The line of symmetry is a vertical line passing through the vertex, not \(y = 3\). So "Line of symmetry at \(y=3\)" is false.

Answer:

Concave down, One negative y - intercept