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Chapter 11: Q.88 (page 1102)

In the following exercises, match each graph to one of the following equations:

a)x2+y2=64b)x2+y2=49c)x+52+y+22=4d)x-22+y-32=9e)y=-x2+8x-15f)y=6x2+2x-1

Short Answer

Expert verified

The equation of the given graph ise)y=-x2+8x-15

Step by step solution

01

Step 1. Given Information

Given graph is

Given equations to match are:

a)x2+y2=64b)x2+y2=49c)x+52+y+22=4d)x-22+y-32=9e)y=-x2+8x-15f)y=6x2+2x-1

The equation of the given graph among the given equations is to be determined.

02

Step 2. Equation of the graph

Given graph is a downward opening parabola.

The standard form of a downward opening parabola is y=ax2+bx+cwhere a is negative.

Among the given options, the only equation where a is negative isy=-x2+8x-15

03

Step 3. Conclusion

The equation of the given graph ise)y=-x2+8x-15

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