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Chapter 12: Q. 8 (page 840)

Find the equation of a parabola with vertex at -1,2and focus at-1,3.

Short Answer

Expert verified

The equation of parabola isx+12=-12y-2

Step by step solution

01

Step 1. Given Information

Vertex of the parabola -1,2and focus -1,3.

We need to find the equation of the parabola.

02

Step 2. Equation of Parabola

Here

k+a=-12+a=-1a=-3

Thus, equation of parabola is

x-h2=4ay-kx+12=4-3y-2x+12=-12y-2

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Most popular questions from this chapter

For the functionf(x)=x-1x,findf(2)andf(3).

In Problems 37–50, a sequence is defined recursively. Write down the first five terms.

a1=1;an=n-an-1

True or False. The notation a5represents the fifth term of a sequence.

In Problems 51–60, write out each sum.

∑k=2n-1kInk

In Problems 61–70, express each sum using summation notation.

1+3+5+7+....+212-1
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