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Chapter 11: Q. 2 (page 772)

Graph the equation:y+4=x2

Short Answer

Expert verified

The graph of y+4=x2is

Step by step solution

01

Step 1. Give data

The given equation is

y+4=x2
02

Step 2. Properties of equation 

Rearrange the equation into the standard form of the equation of the parabola

y+4=x2x2=y+4x-02=414y--4x-h2=4p(y-k)

So vertex of parabola is (h,k)=(0,-4)

and focus is(h,k+p)=0,-3.75)

03

Step 3. Graph 

Plot a parabola of the vertex(0,-4)to plot the graph of y+4=x2

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Most popular questions from this chapter

In Problems, use the division algorithm to rewrite each improper fraction as the sum of a quotient and proper fraction. Find the partial fraction decomposition of the proper fraction. Finally, express the improper fraction as the sum of a quotient and the partial fraction decomposition.

x5+x4-x2+2x4-2x2+1

Constructing a Cylindrical Tube: A rectangular piece of cardboard, whose area is 216 square centimeters, is made into a cylindrical tube by joining together two sides of the rectangle. See the figure. If the tube is to have a volume of 224 cubic centimeters, what size cardboard should you start with?

In Problems 5–24, graph each equation of the system. Then solve the system to find the points of intersection.

x2+y2=4;y2-x=4

Verify that the values of the variables listed are solutions of the system of equations.

4x-5z=65y-z=-17-x-6y+5z=24x=4,y=-3,z=2;4,-3,2

Solve each system of equations. If the system has no solution, say that it is inconsistent.

x-y=5-3x+3y=2
See all solutions

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