Section 1.2 Homework

 

1. To find the x-intercept(s) of the graph of an equation, we set ___ equal to 0 and solve for ____.  So the x-intercept of 4y = x + 5  is ______

2. To find the y-intercept(s) of the graph of an equation, we set ____  equal to 0 and solve for ___.  So the y-intercept of 3y = x + 2  is ______

3. The graph of the equation (x − 4)² + (y − 1)² = 4  is a circle with center (x, y) = ____ and radius _____

4.  Make a table of values for the equation. y = 3x + 1

x	y
-2
-1
0
1
2

 

5. Make a table of values for the equation. y = 1 − x²

x	y
-2
-1
0
1
2

 

6. Make a table of values for the equation.9y = −x²

x	9
-9
-3
0
3
9

 

7. Make a table of values for the equation. y = −|x|

x	y
-3
-2
-1
0
1
2
3

 

8. Make a table of values for the equation.y = |6 − x|

x	y
0
2
4
6
8

 

9.  Find the x– and y-intercepts of the graph of the equation. (If an answer does not exist, enter DNE.)

x-intercept (x,y) = (           )

y-intercept (x,y) = (          )

 

10.  Find the x– and y-intercepts of the graph of the equation. (If an answer does not exist, enter DNE.) y² = 100 − x²

x- intercepts (x,y) = (         ) smaller x value

                    (x,y) =  (        )  larger x value

y-intercepts (x,y) =  (        ) smaller y value

                   (x,y) = (         ) larger y value

 

11.  Find the x– and y-intercepts of the graph of the equation. (If an answer does not exist, enter DNE.) 16x² + 4y² = 64

x- intercepts (x,y) = (         ) smaller x value

                    (x,y) =  (        )  larger x value

y-intercepts (x,y) =  (        ) smaller y value

                   (x,y) = (         ) larger y value

 

12.  Find the center and radius of the circle.(x − 2)² + y² = 25 

center  (x,y) = (      )

radius

 

13. Find the center and radius of the circle.

center (x,y) =

radius

 

14.  Find an equation of the circle that satisfies the given conditions. (Use the variables x and y.)

 

15.  Find an equation of the circle that satisfies the given conditions. (Use the variables x and y.)

 

16. Find the equation of the circle shown in the figure.

 

17.  Show that the equation represents a circle by rewriting it in standard form.

Find the center and radius of the circle. 

center (x,y) =

radius

 

18.  Show that the equation represents a circle by rewriting it in standard form.

 

Find the center and radius of the circle. 

center (x,y) =

radius

 

19.

Show that the equation represents a circle by rewriting it in standard form.

 

20.  Test the equation for symmetry. (Select all that apply.)

1. The graph is symmetric with respect to the x-axis.
2. The graph is symmetric with respect to the y-axis.
3. The graph is symmetric with respect to the origin.

 

21  Test the equation for symmetry. (Select all that apply.)

1. The graph is symmetric with respect to the x-axis.
2. The graph is symmetric with respect to the y-axis.
3. The graph is symmetric with respect to the origin.

 

22.   Test the equation for symmetry. (Select all that apply.)

 

1. The graph is symmetric with respect to the x-axis.
2. The graph is symmetric with respect to the y-axis.
3. The graph is symmetric with respect to the origin.

 

23.   Complete the graph using the given symmetry property.  Symmetric with respect to the origin

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Section 1.2 Homework Answer