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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

Label the focus, directrix, and vertex on the graphs given for the parabolas in Exercises 2 and 3.

(a) x 2 = 12 y
Chapter 12.1, Problem 4E, Label the focus, directrix, and vertex on the graphs given for the parabolas in Exercises 2 and 3. a , example  1
(b) y 2 = 12 x
Chapter 12.1, Problem 4E, Label the focus, directrix, and vertex on the graphs given for the parabolas in Exercises 2 and 3. a , example  2

To determine

(a)

To label:

The focus, directrix and vertex on the graph.

Explanation

Given:

The graph of the parabola x2=12y is given as,

figure (1)

Approach:

The equation of a parabola is given by,

x2=4py … (1)

And, the properties for the parabola are as follows,

Vertex =V(0,0).

Focus =F(0,p).

Directrix y=p.

Calculation:

Consider the given equation.

x2=12y

Compare the above equation with equation (1).

To determine

(b)

To label:

The focus, directrix and vertex on the graph.

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Chapter 12 Solutions

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