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College Prep Algebra - Transformation of Parent Functions Flashcards | StudBud
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College Prep Algebra - Transformation of Parent Functions
f(x) = 2√(x - 3)
f(x) = - x3 + 5
College Prep Algebra - Transformation of Parent Functions
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1
f(x) = - x
3
+ 5
Reflect over the y axis and translate left 5 units
Reflect over the x axis and translate up 5 units
Reflect over the x axis and translate right 5 units
Reflect over the y axis and translate up 5 units
2
f(x) = 2√(x - 3)
Stretch vertically by a factor of 2 and translate 3 left.
Stretch vertically by a factor of 2 and translate 3 right.
Stretch horizontally by a factor of 2 and translate 3 left.
Stretch horizontally by a factor of 2 and translate 3 left.
3
f(x) = √(x + 5)
Translate 5 unit down from the radical parent function.
Translate 5 units left from the radical parent function.
Translate 5 units right from the radical parent function.
Translate 5 units up from the radical parent function.
4
f(x) = - x
2
Its graph is the same as the quadratic parent function.
Translate 1 unit down from the quadratic parent function.
Reflect over the y axis from the quadratic parent function.
Reflect over the x axis from the quadratic parent function.
5
f(x) = |x - 8|
Translate 8 units up from the absolute parent function.
Translate 8 units right from the absolute parent function.
Translate 8 units left from the absolute parent function.
Translate 8 units down from the absolute parent function.
6
f(x) = √- x
Reflect over the x axis.
Translate 1 unit left.
Reflect over the y axis.
Translate 1 unit right.
7
Which parent function's graph is in quadrant I only?
The radical (square root) parent function
The exponential parent function
The cubic parent function
The reciprocal (rational) parent function
8
f(x) = x
2
- 3
Translate 3 units right from the parent linear function.
Translate 3 units down from the parent quadratic function.
Reflect over the y axis from the parent quadratic function.
Translate 3 units down from the parent linear function,
9
f(x) = (1/x) + 4
Translate 4 units up from the radical parent function.
Translate 4 units up from the reciprocal parent function.
Translate 4 units up from the absolute parent function.
Translate 4 units up from the linear parent function.
10
f(x) = 0.5x
2
+ 1
Stretch vertically and translate up
Compress vertically and translate left
Stretch vertically and translate right
Compress vertically and translate up
11
f(x) = 3x
2
- 5
Stretch horizontally by a factor of 3 and translate down 5.
Stretch horizontally by a factor of 3 and translate right 5.
Stretch vertically by a factor of 3 and translate down 5.
Stretch vertically by a factor of 3 and translate right 5.
12
f(x) = (x - 6)
2
+ 5
Translate 5 units up and 6 units right.
Translate 5 units up and 6 units left.
Translate 6 units down and 5 units left.
Translate 6 units down and 5 units right.
