These questions have to do with pre-calculus please show all of your work so it is easy to understand.

1) Given the graph of y = f (x), determine g(x) = -f (x). Sketch the graph. Use your sketch to state the coordinates of the image points A', B', C', D' and E'. Make sure they are in parentheses with no spaces, that is in the form (a,b). The coordinates are

A: (-3,-4), B:(-2,-7), C:(0,-7), D:(1,-6), E:(4,-5)

2)Given the graph of y = f (x), determine g(x) = -f (x). Sketch the graph. Use your sketch to state the coordinates of the image points A', B', C', D' and E'. Make sure they are in parentheses with no spaces, that is in the form (a,b). The coordinates are

A:(-1,-1), B:(0,-4), C: (2,-4), D:(3,-3), E:(6,-2)

3)Given the graph of y = f (x), determine g(x) = -f (x). Sketch the graph. Use your sketch to state the coordinates of the image points A', B', C', D' and E'. Make sure they are in parentheses with no spaces, that is in the form (a,b). The coordinates are

A:(-7,4), B:(-6,1), C:(-4,1), D:(-3,2) , E:(0,3)

4) Given the graph of y = f (x), determine g(x) = f (-x). Sketch the graph. Use your sketch to state the coordinates of the image points A', B', C', D' and E'. Make sure they are in parentheses with no spaces, that is in the form (a,b). The coordinates are

A: (1,-2), B:(2,-5), C:(4,-5), D:(5,-4), E:(8,-3)

5) Given the graph of y = f (x), determine g(x) = f (-x). Sketch the graph. Use your sketch to state the coordinates of the image points A', B', C', D' and E'. Make sure they are in parentheses with no spaces, that is in the form (a,b). The coordinates are

A: (-4,4), B:(-3,1), C:(-1,1), D:(0,2), E:(3,3)

6) Given the graph of y = f (x), determine g(x) = f (-x). Sketch the graph. Use your sketch to state the coordinates of the image points A', B', C', D' and E'. Make sure they are in parentheses with no spaces, that is in the form (a,b). The coordinates are

A: (-8,-4), B:(-7,-7), C:(-5,-7), D:(-4,-6), E:(-1,-5)

7)Given three ordered pairs on y = f (x), determine three image points on y = -f (x). A(4,13), B(6,17),C(8,21). Make sure they are in parentheses with no spaces, that is in the form (a,b). A:?

B:?

C:?

8)Given three ordered pairs on y = f (x), determine three image points on y = -f (x). A(-4,-7), B(-3,3),C(1,-1). Make sure they are in parentheses with no spaces, that is in the form (a,b). A:?

B:?C:?

9)Given three ordered pairs on f (x) = 3x + 2, determine three image points on y = f (-x). A(1,5), B(3,11),C(5,17). Make sure they are in parentheses with no spaces, that is in the form (a,b). A:?

B:? C:? 10)Given three ordered pairs on f (x) = 2x + 1, determine three image points on y = f (-x). A(-5,-9), B(-3,-5),C(-1,-1). Make sure they are in parentheses with no spaces, that is in the form (a,b). A:? B:? C:?

11)The graph of a function y = f (x) is contained completely in the first quadrant. If y = f (x) is transformed to y = -f (x) it will be in quadrant __.

12) The graph of a function y = f (x) is contained completely in the third quadrant. If y = f (x) is transformed to y = f (-x) it will be in quadrant __.