Chapter 9: Q71. (page 534)

REASONING The graph of a quadratic function has a vertex at $(2, 0)$ . One point on the graph is $(5, 9)$ . Find another point on the graph. Explain how you find it.

Short Answer

Expert verified

Another point on the graph is $(- 1, 9)$ .

Step by step solution

Step 1. Define Vertex.

The axis of symmetry intersects a parabola at only one point is called vertex.

Step 2. Graph.

The vertex of the graph of the quadratic function is at $(2, 0)$ and one point on the graph is $(5, 9)$ . Graph these two points.

Step 3. Explanation.

From the graph, it can be observed that the axis of symmetry cuts the parabola into two equal halves.

First count the spaces over and up from the vertex to the point $(5, 9)$ and do the same on the opposite side. By doing this we get another point on the graph, that is, point $(- 1, 9)$ .

Therefore, another point on the graph is $(- 1, 9)$ .

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REASONING The graph of a quadratic function has a vertex at $(2, 0)$ . One point on the graph is $(5, 9)$ . Find another point on the graph. Explain how you find it.

Short Answer

Step by step solution

Step 1. Define Vertex.

Step 2. Graph.

Step 3. Explanation.

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REASONING The graph of a quadratic function has a vertex at 2,0. One point on the graph is 5,9. Find another point on the graph. Explain how you find it.

Short Answer

Step by step solution

Step 1. Define Vertex.

Step 2. Graph.

Step 3. Explanation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Statistics

Calculus

Geometry

Theoretical and Mathematical Physics

Pure Maths

Study anywhere. Anytime. Across all devices.

REASONING The graph of a quadratic function has a vertex at $(2, 0)$ . One point on the graph is $(5, 9)$ . Find another point on the graph. Explain how you find it.