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Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

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BuyFindarrow_forward

Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

11-24 Graphing Parabolas An equation of a parabola is given. (a) Find the focus, directrix, and focal diameter of the parabola. (b) Sketch a graph of the parabola and its directrix.

5 y = x 2

To determine

To find:

The focus, directrix, and the focal diameter of the parabola.

Explanation

Approach:

The equation of parabola is given by,

x2=4py

And have the following properties.

Vertex =V(0,0).

Focus =F(0,p).

Directrix y=p.

Focal diameter d=|4p|.

Calculation:

Consider the given equation.

x2=5y

Compare the above equation with the equation of parabola.

5y=4pyp=54

The value of p is 54.

The focus of the parabola is given by,

F=(0,p)=(0,54)

The directrix of the parabola is given by,

To determine

(b)

To sketch:

The graph of the parabola and its directrix.

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Chapter 12 Solutions

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