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Chapter 10: Q. 58 (page 644)

Write an equation for each parabola.

Short Answer

Expert verified

The equation of the parabola isx2=4y+1.

Step by step solution

01

Step 1. Given information .

Consider the given graph and the points located on it .

02

Step 2. Formula used .

The formula used to find the equation of parabola is x-h2=4ay-k.

where h , k are the points of vertex h,k=0,-1and focusx,y=2,0.

03

Step 3. Find the equation of parabola .

Substitute the value of h,k=0,-1and x,y=2,0in the equation of parabola .

localid="1646930530938" x-h2=4ay-k2-02=4a0+1a=1y=ax-h2+k0=a2-02+-1a=14

Further simplify .

Substitute the value of a in the equation of parabola .

localid="1646930607016" x-h2=4ay-kx-02=4脳1y+1x2=4y+1

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localid="1647365908255" x2+4xy+y2-3=0
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