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Chapter 9: Q59. (page 533)

Graph each equation. Use the TRACE feature to find the vertex on the graph. Round to the nearest thousandth if necessary.

y=4x2+10x+6

Short Answer

Expert verified

The vertex on the graph is 鈭�1.202,鈭�0.241.

Step by step solution

01

Step 1. Insert the provided into the calculator.

Take the help of a graphing calculator and pressY=after it insert the provided equation as localid="1647931231639" Y1=4x2+10x+6.

02

Step 2. Determine the graph of the provided equation.

Set the window of the calculator as,

Xmin=鈭�5Xmax=5Xscl=1Ymin=0Ymax=20Yscl=1Xres=1

After the setting of window, press GRAPH button to obtain the graph.

03

Step 3. Determine the required vertex.

Press TRACE button and use the arrow keys to determine the vertex.

The obtained graph represents the vertex as鈭�1.202128,鈭�0.240833 which means that鈭�1.202128,鈭�0.240833 is the required vertex.

The vertex of the graph after rounding to the nearest thousand is 鈭�1.202,鈭�0.241.

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Most popular questions from this chapter

MULTIPLE REPRESENTATIONS in this problem, you will investigate solving quadratic equations using tables.

a. ALGEBRAIC Determine the related function for each equation. Copy and complete the table below.

b. GRAPHICAL Graph each related function with a graphing calculator.

c. ANALYTICAL use the table feature on your calculator to determine the zeros of each related function. Record the zeros in the table above. Also, record the values of the function one unit less than and one unit more than each zero.

d. VERBAL Compare the signs of the function values for x values just before and just after a zero. What happens to the sign of the function value before and after a zero?

Find the next three terms of each arithmetic sequence.

鈭�5,鈭�2,1,4,..

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?

Write the equation for the nth term of each geometric sequence.

3,9,27,.....

Graph each function. Find the y-intercept, and state the domain and range.

y=鈭�311x
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