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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=7−x−7y=7\sqrt{-x-7}
B.
y=77x+49y=7\sqrt{7x+49}
C.
y=−4x−16y=-\sqrt{4x-16}
D.
y=−17x+7y=-\sqrt{\dfrac{1}{7}x}+7
Reflection about the x-axis, horizontal compression by 14\dfrac{1}{4}, and translation 4 units right.
Reflection about the y-axis, vertical expansion by a factor of 7, and 7 units right
Horizontal expansion by a factor of 7, reflection about the x-axis, and 7 units up
Horizontal compression by a factor of 17\dfrac{1}{7}, vertical expansion by a factor of 7, and 7 units left
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)}?