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Solving Radical Equations

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Wize High School Grade 12 Pre-Calculus Textbook > Radical Functions

Transformations of Radical Functions

5 Activities

Wize High School Algebra II Textbook (Common Core) > Radical Expressions and Functions

Transformations of Radical Functions

6 Activities

Practice: Transformations

Let y=f(x)y=\sqrt{f(x)}.

Match the appropriate transformation with its transformed function.
A.
y=5−x−8y=5\sqrt{-x}-8
B.
y=−53x+5y=-\sqrt{\dfrac{5}{3}x+5}
C.
y=22x+3y=2\sqrt{2x}+3
D.
y=1212x−3y=\dfrac{1}{2}\sqrt{\dfrac{1}{2}x-3}
Reflection about the x-axis, horizontal compression by 35\frac{3}{5}, and translation 3 units left.
Reflection about the y-axis, vertical expansion by a factor of 5, and 8 units down
Horizontal expansion by a factor of 2, vertical compression by a factor of 12\frac{1}{2}, and 6 units right
Horizontal compression by a factor of 12\frac{1}{2} , vertical expansion by a factor of 2, and 3 units up
More Transformations of Radical Functions Questions:
Radical Functions
Graph the function y=−34(x−2)+3y=-3\sqrt{4(x-2)}+3.
Solving Radical Equations
Practice: Transformations
Let y=f(x)y=\sqrt{f(x)}.
Match the appropriate transformation with its transformed function.
Transformations of Radical Functions
Practice: Transformations of Radical Functions
If the point (-4,5) is on the function y=23f(−x−8)+13y=\frac{2}{3}f(-x-8)+\dfrac{1}{3}, then what point must be on the function y=f(x)y=\sqrt{f(x)}?
Transformations of Radical Functions
Practice: Transformations of Radical Functions
If the point (2, 3) is on the function y=2f(x−1)−3y=2f(x-1)-3, then what point must be on the function y=f(x)y=\sqrt{f(x)}?
Transformations of Radical Functions
Practice: Transformations of Radical Functions
Which of the following is the graph of the function y=−−3x+6−2y=-\sqrt{-3x+6}-2?
Transformations of Radical Functions
Practice: Transformations of Radical Functions
Which of the following is the graph of the function y=4x−1y=\sqrt{4x}-1?
Transformations of Radical Functions
Practice: Transformations of Radical Functions
If the point (x,64x52) (x,64x^{\frac{5}{2}})~ lies on the graph y=f(x),y=f(x), then what point lies on the graph y=f(x)y=\sqrt{f(x)}?
Transformations of Radical Functions
Practice: Transformations of Radical Functions
If the point (x,81x16) (x,81x^{16})~ lies on the graph y=f(x),y=f(x), then what point lies on the graph y=f(x)y=\sqrt{f(x)}?
More Transformations of Radical Functions Questions:
Radical Functions
Graph the function y=−34(x−2)+3y=-3\sqrt{4(x-2)}+3.
Solving Radical Equations
Practice: Transformations
Let y=f(x)y=\sqrt{f(x)}.
Match the appropriate transformation with its transformed function.
Transformations of Radical Functions
Practice: Transformations of Radical Functions
If the point (-4,5) is on the function y=23f(−x−8)+13y=\frac{2}{3}f(-x-8)+\dfrac{1}{3}, then what point must be on the function y=f(x)y=\sqrt{f(x)}?
Transformations of Radical Functions
Practice: Transformations of Radical Functions
If the point (2, 3) is on the function y=2f(x−1)−3y=2f(x-1)-3, then what point must be on the function y=f(x)y=\sqrt{f(x)}?
Transformations of Radical Functions
Practice: Transformations of Radical Functions
Which of the following is the graph of the function y=−−3x+6−2y=-\sqrt{-3x+6}-2?
Transformations of Radical Functions
Practice: Transformations of Radical Functions
Which of the following is the graph of the function y=4x−1y=\sqrt{4x}-1?
Transformations of Radical Functions
Practice: Transformations of Radical Functions
If the point (x,64x52) (x,64x^{\frac{5}{2}})~ lies on the graph y=f(x),y=f(x), then what point lies on the graph y=f(x)y=\sqrt{f(x)}?
Transformations of Radical Functions
Practice: Transformations of Radical Functions
If the point (x,81x16) (x,81x^{16})~ lies on the graph y=f(x),y=f(x), then what point lies on the graph y=f(x)y=\sqrt{f(x)}?