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Chapter 10: Q. 62 (page 644)

Write an equation for each parabola.

Short Answer

Expert verified

The equation of parabola isy2=x-1.y2=x-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 y-k2=-4ax-hwhere h , k are the points of vertex and x , y are the points of focus .

03

Step 3.  Find the equation of parabola .

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

y-k2=-4ax-hy-02=-4ax-1a=-14

Further simplify .

Substitute the value of a in the equation of parabola .

y-k2=-4ax-hy-02=-4×-14x-1y2=x-1

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Most popular questions from this chapter

Whispering Gallery : Jim, standing at one focus of a whispering gallery, is 6feet from the nearest wall. His friend is standing at the other focus, 100feet away. What is the length of this whispering gallery? How high is its elliptical ceiling at the center?

In Problems 43–52, identify the graph of each equation without applying a rotation of axes.

3x2-2xy+y2+4x+2y-1=0

Semi elliptical Arch Bridge The arch of a bridge is a semi ellipse with a horizontal major axis. The span is 30feet, and the top of the arch is 10feet above the major axis. The roadway is horizontal and is 2feet above the top of the arch. Find the vertical distance from the roadway to the arch at 5-foot intervals along the roadway.

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

and equations of the parabola areA)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)

Find the equation of the parabola described. Find the two points that define the latus rectum, and graph the equation by hand.

Focus is at0,-3and vertex at0,0.
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