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Chapter 10: Q. 56 (page 644)

Write an equation for the parabola.

Short Answer

Expert verified

The equation of the parabola isx2-2x+y-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 is x-h2=-4ay-k.

where h, k are the points of vertex h,k=1,2and focus x,y=2,1.

03

Step 3. Find the equation of parabola .

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

x-h2=-4ay-k2-12=-4a1-2a=14

Further simplify .

Substitute the value of a in the equation of parabola .

localid="1646931694920" x-h2=-4ay-kx-12=-4脳14y-2x2-2x+y-1=0

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Most popular questions from this chapter

True or False

The equation 3x2+Bxy+12y2=10defines a parabola ifB=-12.

Answer the following problem using the figure,

If a > 0 the equation of the parabola is of the form:

a)y-k2=4ax-hb)y-k2=-4ax-hc)x-h2=4ay-kd)x-h2=-4ay-k

The standard equation of a circle with center at (2,-3)and radius 1 is ________.

Find the vertex, focus, and directrix of each parabola. Graph the equation by hand. Verify your graph using a graphing utility.

y2=-16x

Whispering Gallery: A hall 100feet in length is to be designed as a whispering gallery. If the foci are located 25feet from the center, how high will the ceiling be at the center?
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