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Chapter 9: Q61. (page 533)

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

y=鈭�5x2鈭�3x鈭�8

Short Answer

Expert verified

The vertex on the graph is 鈭�0.319,鈭�7.552.

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 Y1=鈭�5x2鈭�3x鈭�8.

02

Step 2. Determine the graph of the provided equation.

Set the window of the calculator as,

Xmin=鈭�5Xmax=5Xscl=1Ymin=鈭�20Ymax=0Yscl=2Xres=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�0.3191489,鈭�7.551833 which means that鈭�0.3191489,鈭�7.551833 is the required vertex.

The vertex of the graph after rounding to the nearest thousand is 鈭�0.319,鈭�7.552.

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Most popular questions from this chapter

Solve the equation by using the Quadratic formula. Round to the nearest tenth if necessary.

x2鈭�10x=鈭�15

Consider y=x2鈭�5x+4

Find the coordinates of the vertex. Is it a maximum or minimum point?

Write an equation in slope-intercept form with a slope of910 and y-intercept of 3.

Fy=3x+910Gy=910x+3Hy=910x鈭�3Jy=3x鈭�910

OPEN ENDED Write a quadratic function for which the graph has an axis of symmetry x=鈭�38. Summarize your steps.

Solve each equation by graphing. If integral roots cannot be found, estimate the roots to the nearest tenth.

鈭�x2+3x鈭�1=0
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