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Chapter 10: Q. 59 (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 vertexh,k=0,1and focusx,y=2,2.

03

Step 3.  Find the equation of the parabola .

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

localid="1646929727056" x-h2=4ay-k2-02=4a2-1a=1

Further simplify .

Substitute the value of a in the equation of parabola .

localid="1646930160222" x-h2=4ay-kx-02=4脳1y-1x2=4y-1

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Most popular questions from this chapter

The graph of a parabola is given. Match graph to its equation.

and equations are,

A)y2=4xC)y2=-4xE)(y-1)2=4(x-1)G)(y-1)2=-4(x-1)B)x2=4yD)x2=-4yF)(x+1)2=4(y+1)H)(x+1)2=4(y+1)

To graph y=(x+1)2-4, shift the graph of y=x2to the (left/right) _____unit(s) and then (up/down) _____unit(s).

The graph of a parabola is given. Match graph to its equation.

A)y2=4xC)y2=-4xE)(y-1)2=4(x-1)G)(y-1)2=-4(x-1)B)x2=4yD)x2=-4yF)(x+1)2=4(y+1)H)(x+1)2=4(y+1)

True or False

To eliminate the xy-term from the equation x2-2xy+y2-2x+3y+5=0, rotate the axes through an angle 胃, where cot胃=B2-4AC.

2. To complete the square of x2-4x,add _______.
See all solutions

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