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Chapter 10: Q. 16 (page 667)

In Problems 15鈥�18, the graph of a hyperbola is given. Match each graph to its equation.

Equations: Ax24-y2=1Bx2-y24=1Cy24-x2=1Dy2-x24=1

Graph:

Short Answer

Expert verified

The equation of given graph is:Cy24-x2=1

Step by step solution

01

Step 1. Given information  

Equations:

Ax24-y2=1Bx2-y24=1Cy24-x2=1Dy2-x24=1

Graph:

02

Step 2. Required to find  

Match the graph to its equation.

03

Step 3. Matching the graph to its equation 

Substitute values of points on the graph and see if the equation holds good.

In the given graph, take point (x,y)=(0,2), only equation (C) satisfies and hence, it is the right match.

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Most popular questions from this chapter

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

y2=8x

Searchlight - A searchlight is shaped like a paraboloid of

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The Gateway Arch in St. Louis is often mistaken to be parabolic in shape. In fact, it is a catenary, which has a more complicated formula than a parabola. The Arch is 625 feet high and 598 feet wide at its base.

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(c) Do the data support the notion that the Arch is in the shape of a parabola?

The Green MonsterThe left field wall at Fenway Park is 310 feet from home plate; the wall itself (affectionately named the Green Monster) is 37 feet high. A batted ball must clear the wall to be a home run. Suppose a ball leaves the bat 3 feet off the ground, at an angle of 45掳. Use g=32ft/sec2as the acceleration due to gravity and ignore any air resistance.

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(c) How far is the ball from home plate at its maximum height? Give your answer in feet.

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Source: The Boston Red Sox

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

y-22=8x+1
See all solutions

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