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Chapter 3: Q. 9 (page 155)

True or False The y-coordinate of the vertex of f(x)=-x2+4x+5is f(2).

Short Answer

Expert verified

The given statement is true.

Step by step solution

01

Step 1. Given information.

The given statement is:

The y-coordinate of the vertex of f(x)=-x2+4x+5 is f(2).

02

Step 2. Determine whether the given statement is true or false. 

The vertex of f(x)=ax2+bx+cis -b2a,f-b2a.

In the given function f(x)=-x2+4x+5,a=-1,b=4,c=5.

-b2a=-42-1=-4-2=2

The y-coordinate of the vertex of the given function is role="math" localid="1645862681108" f(2).

03

Step 3. Conclusion.

The given statement is true.

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Most popular questions from this chapter

If G(x)=-2,then

(a) Determine the slope and y-intercept of each function.

(b) Use the slope and y-intercept to graph the linear function.

(c) Determine the average rate of change of each function.

(d) Determine whether the linear function is increasing, decreasing, or constant.

Graph the function fby starting with the graph of y=x2and using transformations (shifting, compressing, stretching, and/or reflection). Verify your results using a graphing utility.

f(x)=2x2+4

The John Deere company has found

that the revenue, in dollars, from sales of riding mowers is a function of the unit price p, in dollars, that it charges. If the revenue R is R(p)=-12p2+1900p

what unit price p should be charged to maximize revenue? What is the maximum revenue?

Graph the function fby starting with the graph of y=x2and using transformations (shifting, compressing, stretching, and/or reflection). Verify your results using a graphing utility.

Hint: If necessary, write fin the form f(x)=a(x-h)2+k.

f(x)=23x2+43x-1

True or False The graph of the function f(x)=x2is increasing on the interval(0,鈭�).
See all solutions

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