1.
f(x) = 7x + 7, g(x) = 6x2
Find (fg)(x). (4 points)
42x2 + 42x | |
6x2 + 7x + 7 | |
42x + 42 | |
42x3 + 42x2 |
2.
Find (f + g)(x). (4 points)
5x |
3.
Describe how the graph of y = x2 can be transformed to the graph of the given equation.
y = (x – 10)2 + 8 (4 points)
Shift the graph of y = x2 left 10 units and then down 8 units. | |
Shift the graph of y = x2 up 10 units and then right 8 units. | |
Shift the graph of y = x2 left 10 units and then up 8 units. | |
Shift the graph of y = x2 right 10 units and then up 8 units. |
4.
Describe how to transform the graph of f into the graph of g.
and (4 points)
Reflect the graph of f across the y-axis. | |
Reflect the graph of f across the y-axis and then reflect across the x-axis. | |
Reflect the graph of f across the x-axis. | |
The graph shifts left two units. |
5.
Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x).
f(x) = 4 cos x; g(x) = cos x (4 points)
Vertical stretch by a factor of 4 | |
Horizontal stretch by a factor of 4 | |
Vertical shrink by a factor of | |
Horizontal shrink by a factor of |