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Section 1.2 Homework
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.
Find the center and radius of the circle.
center (x,y) =
radius
20. Test the equation for symmetry. (Select all that apply.)
- The graph is symmetric with respect to the x-axis.
- The graph is symmetric with respect to the y-axis.
- The graph is symmetric with respect to the origin.
21 Test the equation for symmetry. (Select all that apply.)
- The graph is symmetric with respect to the x-axis.
- The graph is symmetric with respect to the y-axis.
- The graph is symmetric with respect to the origin.
22. Test the equation for symmetry. (Select all that apply.)
- The graph is symmetric with respect to the x-axis.
- The graph is symmetric with respect to the y-axis.
- The graph is symmetric with respect to the origin.
23. Complete the graph using the given symmetry property. Symmetric with respect to the origin
