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Math
Secondary 4-6 (Ages 15-18)
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1
Which transformation maps the graph of y = f(x) to y = f(x - 3) + 2?
A
Translate 3 units left and 2 units down
B
Translate 3 units left and 2 units up
C
Translate 3 units right and 2 units up
D
Translate 3 units right and 2 units down
2
The graph of y = f(x) is shown. If the graph is reflected in the y-axis, which equation represents the new graph?
A
y = f(-x)
B
y = -f(x)
C
y = f(x - 1)
D
y = f(x) + 1
3
The function y = f(x) has a minimum point at (2, -1). What are the coordinates of the minimum point after the transformation y = 3f(x) - 4?
A
(2, -3)
B
(2, -7)
C
(6, -7)
D
(6, -3)
4
Which sequence of transformations maps the graph of y = x^2 to y = -(x + 2)^2 + 1?
A
Reflect in the x-axis, then translate 2 units left and 1 unit up
B
Reflect in the x-axis, then translate 2 units left and 1 unit down
C
Reflect in the x-axis, then translate 2 units right and 1 unit up
D
Reflect in the y-axis, then translate 2 units left and 1 unit up
5
The graph of y = f(x) is stretched vertically by a factor of 2 and then translated 3 units to the right. Which equation represents the transformed graph?
A
y = 2f(x - 3)
B
y = 2f(x) - 3
C
y = f(2(x - 3))
D
y = f(2x - 3)
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