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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 鈭�1,9.

Step by step solution

01

Step 1. Define Vertex.

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

02

Step 2. Graph.

The vertex of the graph of the quadratic function is at2,0 and one point on the graph is 5,9. Graph these two points.

03

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 point5,9 and do the same on the opposite side. By doing this we get another point on the graph, that is, point 鈭�1,9.

Therefore, another point on the graph is 鈭�1,9.

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Most popular questions from this chapter

Zita鈥檚 computer is depreciating at a rate of 3%per year. She bought the computer for $1200.

a. Write an equation to represent this situation.

b. What will the computer鈥檚 value be after 5 years?

Find the next three terms of each arithmetic sequence.

2,10,18,26,...

Describe how the graph of the function fx=x2+8is related to the graph fx=x2.

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A2,0B0,2C鈭�2,2D2,鈭�2

Use a table of values to graph the following functions. State the domain and range.

y=x2+2x+5
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