Q.46 match each graph with correct eq... [FREE SOLUTION]

91影视

Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 1: Q.46 (page 50)

match each graph with correct equation
$(a) {(x - 3)}^{2} + {(y + 3)}^{2} = 9, (b) {(x + 1)}^{2} + {(y - 2)}^{2} = 4, (c) {(x - 1)}^{2} + {(y + 2)}^{2} = 4, (d) {(x + 3)}^{2} + {(y - 3)}^{2} = 9$

Short Answer

Expert verified

The correctly matched equation of the given question is an option (a) ${(x - 3)}^{2} + {(y + 3)}^{2} = 9$

Step by step solution

Step 1. Given information

The graph of the circle is given.

we have to match the graph with the correct equation.

. Plot the graph of an option (a)x-32+y+32=9

Here ${(x - 3)}^{2} + {(y + 3)}^{2} = 9$ is the given equation of a circle, then the center is(3,-3) and the radius is 3 since given this equation compared to the standard form of equation of a circle.

Then the plotted graph is given below

Step 3. Plot the graph of option (b)(x+1)2+(y-2)2=4

The equation ${(x + 1)}^{2} + {(y - 3)}^{2} = 4$ is similar to a standard form of the equation of a circle then center(-1,2) and radius is 2, thus the graph is given below

Step 4. Sketch the graph of option (c)(x-1)2+(y+2)2=4

when we compared the given equation to the standard for of the equation of a circle , we get radius is 2 and center is(1,-2). Hence the graph of the equation given below

Step 5. Sketch the graph of an option (d)(x+3)2+(y-3)2=9

According to the given question ${(x + 3)}^{2} + {(y - 3)}^{2} = 9$ , the center is

(-3, 3) and radius is 3 since the given equation is compared to the standard form of the equation of a circle. Hence the graph based on the given equation is below

Step 6. Matching the correct equation

The sketched graph of the equation for each option and the exact match of the equation of the given question graph is an option (a) ${(x - 3)}^{2} + {(y + 3)}^{2} = 9$

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91影视

match each graph with correct equation
$(a) {(x - 3)}^{2} + {(y + 3)}^{2} = 9, (b) {(x + 1)}^{2} + {(y - 2)}^{2} = 4, (c) {(x - 1)}^{2} + {(y + 2)}^{2} = 4, (d) {(x + 3)}^{2} + {(y - 3)}^{2} = 9$

Short Answer

Step by step solution

Step 1. Given information

. Plot the graph of an option (a)x-32+y+32=9

Step 3. Plot the graph of option (b)(x+1)2+(y-2)2=4

Step 4. Sketch the graph of option (c)(x-1)2+(y+2)2=4

Step 5. Sketch the graph of an option (d)(x+3)2+(y-3)2=9

Step 6. Matching the correct equation

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91影视

match each graph with correct equation(a)(x-3)2+(y+3)2=9,(b)(x+1)2+(y-2)2=4,(c)(x-1)2+(y+2)2=4,(d)(x+3)2+(y-3)2=9

Short Answer

Step by step solution

Step 1. Given information

. Plot the graph of an option (a)x-32+y+32=9

Step 3. Plot the graph of option (b)(x+1)2+(y-2)2=4

Step 4. Sketch the graph of option (c)(x-1)2+(y+2)2=4

Step 5. Sketch the graph of an option (d)(x+3)2+(y-3)2=9

Step 6. Matching the correct equation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Probability and Statistics

Statistics

Geometry

Discrete Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

match each graph with correct equation
$(a) {(x - 3)}^{2} + {(y + 3)}^{2} = 9, (b) {(x + 1)}^{2} + {(y - 2)}^{2} = 4, (c) {(x - 1)}^{2} + {(y + 2)}^{2} = 4, (d) {(x + 3)}^{2} + {(y - 3)}^{2} = 9$