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Chapter 7: Q62. (page 352)

Graph the function $y = - 2 {(x - 2)}^{2} + 3$ .

Short Answer

Expert verified

The graph of the function $y = - 2 {(x - 2)}^{2} + 3$ is shown below.

Step by step solution

01

Step 1. Write down the given information.

The given function is $y = - 2 {(x - 2)}^{2} + 3$ .

02

Step 2. Construct the graph of the given function.

The graph of the function $y = - 2 {(x - 2)}^{2} + 3$ is shown below.

03

Step 3. Interpretation from the graph.

From the graph it can be interpreted that the graph cuts x-axis at two different points. Hence it will have two real solutions.

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Most popular questions from this chapter

EMPLOYMENT For Exercises 27–30, use the graph that models the unemployment rates from 1975–2000.

In what year was the unemployment rate the highest? the lowest?

For each graph,

a. Describe the end behaviour.

b. Determine whether it represents an odd-degree or an even-degree polynomial function, and

c. state the number of real zeros.

The maximum number of regions formed by connecting (n) points of a circle can be obtained by the function $f (n) = \frac{1}{24} (n^{4} - 6 n^{3} + 23 n^{2} - 18 n + 24)$ . What is the degree of this polynomial.

Find $p (4) and p (- 2)$ for the function $p (x) = \frac{1}{2} x^{4} - 2 x^{2} + 4$ .

Graph the function $y = x^{2} + 4$ by making table of values.

See all solutions

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