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Chapter 10: Q 66. (page 655)

Graph each function.

f(x)=9-9x2.

Short Answer

Expert verified

The graph of the function is half an ellipse.

Step by step solution

01

Step 1. Given information.

We have given function f(x)=9-9x2.

To obtain equation of ellipse we have

(f(x))2=9-9x2x21+(f(x))29=1

The center of the ellipse lies at the origin and the major axis is y-axis.

02

Step 2. Graph of the function. 

The vertices are at (0,卤3).

The x-intercept are at (卤1,0).

The graph of the function is given as

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Most popular questions from this chapter

In Problems 43鈥�52, identify the graph of each equation without applying a rotation of axes.

2x2-3xy+2y2-4x-2=0

Answer Problems using the figure.

The coordinates of the vertex are_______ .

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In Problems 67鈥�74, analyze each conic

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Find an equation for each ellipse. Graph the equation by hand.

Center at (1,2): focus at(1,4): contains the point(2,2)
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