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Chapter 10: Q. 14 (page 699)

In Problem 11-18, find an equation of the conic described. Graph the equation by hand.

Parabola; vertex at(2,-3); focus at(2,-4)

Short Answer

Expert verified

The equation of the parabola is(x-2)2=-4(y+3)

Step by step solution

01

Step 1. Given Information

Vertex of parabola at (2,-3)

Focus at(2,-4)

02

Step 2. Calculation 

Here, (伪,尾)=(2,-3)

Then, 伪=2,尾=-3

Now, (伪,a+尾)=(2,-4)

Therefore,a=-1

03

Step 3. Final answer

The equation of the parabola is

(x-2)2=-4(y+3)

04

Step 4. Graph

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