Questions: Complete the sentences by reading this quadratic graph. The value of this quadratic function is At the point ( ), the x-axis intercepts with the quadratic graph.

Complete the sentences by reading this quadratic graph.

The value of this quadratic function is

At the point ( ), the x-axis intercepts with the quadratic graph.

Transcript text: Complete the sentences by reading this quadratic graph. The $\square$ value of this quadratic function is At the point ( $\qquad$ ), the $x$-axis intercepts with the quadratic graph.

Solution

Solution Steps

Step 1: Identify the vertex of the quadratic function

The vertex of the quadratic function is the lowest point on the graph. From the graph, the vertex is at the point (-5, -10).

Step 2: Determine the minimum value of the quadratic function

Since the vertex is the lowest point on the graph, the y-coordinate of the vertex represents the minimum value of the quadratic function. Therefore, the minimum value is -10.

Step 3: Identify the x-axis intercepts

The x-axis intercepts are the points where the graph crosses the x-axis. From the graph, the x-axis intercepts are at the points (-10, 0) and (0, 0).