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Chapter 10: Q. 55 (page 644)

Write an equation for the parabola.

Short Answer

Expert verified

The equation of the parabola isy2-2y-x+1=0.

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 isy-k2=4ax-h

where center is h,kand focus is x,y.

03

Step 3. Find the equation of parabola .

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

y-k2=4ax-h2-12=4a1-0a=14

Further simplify .

Substitute the value of a in the equation of parabola .

y-k2=4ax-hy-12=4脳14x-0y2-2y-x+1=0

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