2.Describing Transformation of Function
Authored by Timmi Bengela
Mathematics
10th - 12th Grade
CCSS covered
Used 59+ times
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20 questions
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1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
How can the graph of g(x) = -2|x| be obtained from the graph of f(x) = |x|?
Stretch it vertically by -2. Reflect it across the x-axis.
Shrink it vertically by 2. Reflect it across the y-axis.
Shrink it vertically by -2. Reflect it across the y-axis.
Stretch it vertically by 2. Reflect it across the x-axis.
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
How can the graph of g(x) = -√x + 9 be obtained from the graph of f(x) = √x?
Shift 9 units to the up. Reflect it across the x-axis.
Shift 9 units to the down. Reflect it across the y-axis.
Shift -9 units to the up. Reflect it across the x-axis.
Shift 9 units to the down. Reflect it across the x-axis.
Tags
CCSS.HSF.BF.B.3
3.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
How can the graph of g(x) = -2x3 + 8 be obtained from the graph of f(x) = x3?
Stretch it vertically by 2. Reflect it across the y-axis. Shift it 8 units upward.
Shrink it vertically by 2. Reflect it across the x-axis. Shift it 2 units upward.
Stretch it vertically by 2. Reflect it across the x-axis. Shift it 8 units upward.
Stretch it vertically by 2. Reflect it across the x-axis. Shift it 8 units downward.
Tags
CCSS.HSF.BF.B.3
4.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
How can the graph of g(x) = (x - 9)2 - 10 be obtained from the graph of f(x) = x2?
Shift 10 units to the right and 9 units downward.
Shift 9 units to the right and 10 units downward.
Shift 9 units to the left and 10 units upward.
Shift 9 units to the left and 10 units downward.
5.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
How can the graph of g(x) = -(x - 7)2 + 11 be obtained from the graph of f(x) = x2?
Shift it 7 units to the right. Reflect it across the y-axis. Shift it 11 units up.
Shift it 7 units to the left. Reflect it across the x-axis. Shift it 11 units up.
Shift it 7 units to the right. Reflect it across the y-axis. Shift it 11 units down.
Shift it 7 units to the right. Reflect it across the x-axis. Shift it 11 units up.
6.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
The graph of f(x) = x2 is shifted 4 units to the left. This graph is then vertically stretched by a factor of 6 and
reflected across the x-axis. Finally, the graph is shifted 8 units downward.
y = -6(x + 4)2 - 8
y = 6(x +4)2 - 8
y = -6(x - 4)2 - 8
y = -6(x + 8)2 - 4
7.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
The graph of f(x) = x2 is shifted 2 units to the left and 10 units downward.
y = (x + 2)2 - 10
y = (x + 10)2 - 2
y = (x - 10)2 + 2
y = (x - 2)2 - 10
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