math work

Homework 8: graphing in two variables; x and y-intercepts and symmetry

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Determine whether the given point is on the graph of the equation.

1) Equation: y = -

Point: ( 9, 726) 1) _______

A) Yes B) No

2) Equation: + = 4

Point: ( 2, 0) 2) _______

A) No B) Yes

Graph the equation by plotting points.

3) y = x - 4

3) _______

A)

B)

C)

D)

4) y = -x2 + 1

4) _______

A)

B)

C)

D)

List the intercepts of the graph.

5)

5) _______

A) (-2, 0), (0, 2) B) (0, -2), (0, 2) C) (-2, 0), ( 2, 0) D) (0, -2), ( 2, 0)

6)

6) _______

A) (0, -1) B) ( -1, -1) C) ( -1, 0) D) (0, 0)

7)

7) _______

A) (0, -2), (0, 8), ( 4, 0) B) ( -2, 0), (0, 8), (0, 4)

C) ( -2, 0), (0, 8), ( 4, 0) D) (0, -2), ( 8, 0), (0, 4)

List the intercepts for the graph of the equation.

8) = x + 64 8) _______

A) (0, -8), (64, 0), (0, 8) B) (0, -8), (-64, 0), (0, 8)

C) (-8, 0), (0, -64), ( 8, 0) D) ( 8, 0), (0, 64), (0, -64)

Find the x- and y-intercepts. Then graph the equation.

9) 10y - 2x = -4

9) _______

A) ; (0, 2)

B) ( -2, 0);

C) ; (0, -2)

D) ( 2, 0);

10) -6x - 12y = 24

10) ______

A) ( -4, 0); (0, -2)

B) ( -2, 0); (0, 4)

C) ( -2, 0); (0, -4)

D) ( 4, 0); (0, -2)

Plot the point A. Plot the point B that has the given symmetry with point A.

11) A = ( 2, -1); B is symmetric to A with respect to the origin

11) ______

A)

B)

C)

D)

12) A = (0, 4); B is symmetric to A with respect to the origin

12) ______

A)

B)

C)

D)

List the intercepts of the graph.Tell whether the graph is symmetric with respect to the x -axis, y-axis, origin, or none of these.

13)

13) ______

A) intercepts: ( -2, 0) and ( 2, 0)

symmetric with respect to origin

B) intercepts: ( -2, 0) and ( 2, 0)

symmetric with respect to x-axis, y-axis, and origin

C) intercepts: (0, -2) and (0, 2)

symmetric with respect to x-axis, y-axis, and origin

D) intercepts: (0, -2) and (0, 2)

symmetric with respect to y-axis

14)

14) ______

A) intercepts: (0, 3) and (0, -3)

symmetric with respect to origin

B) intercepts: ( 3, 0) and ( -3, 0

symmetric with respect to y-axis

C) intercepts: (0, 3) and (0, -3)

symmetric with respect to x-axis, y-axis, and origin

D) intercepts: ( 3, 0) and ( -3, 0)

symmetric with respect to x-axis, y-axis, and origin

15)

15) ______

A) intercept: ( 5, 0)

symmetric with respect to y-axis B) intercept: (0, 5)

no symmetry

C) intercept: (0, 5)

symmetric with respect to x-axis D) intercept: ( 5, 0)

no symmetry