Graphing Radical Functions Answers
Use the equationWhich is an equivalent equation of the form
Which of the following describes the graph of compared with the parent cube root function?Horizontal translation:
Vertical translation:
Stretch/compression:
Reflection:
Analyze the graph of the cube root function shown on the right to determine the transformations of the parent function. Then, determine the values of a, h, and k in the general equation.
Describe the transformation of the graph of the parent function y = √x for the function y = √x + 7 + 5.
What is the domain of
Which of the following describes the graph of the transformed function compared with the parent function? Select all that apply.
The domain of is all real numbers.x >= -5.x >= -1.x >= 1.✔ x >= 5.
Which is the graph of
Describe how the graph of the parent function is transformed when graphing The graph is translated 6 units left✔ rightupdown.
Which of the following graphs are identical?
Compared with the graph of the parent function, which equation shows only a vertical compression by a factor of and a shift downward of 4 units?
Analyze the graph of the cube root function shown on the right to determine the transformations of the parent function. Then, determine the values of a, h, and k in the general equation. h = k = a =
Explain how to rewrite the function shown in order to determine the transformation of the parent function. Then, describe the transformation of the graph compared to the parent function.
To determine the transformation of the parent function, first rewrite the given function by factoring − 8 −8 from the radicand. Taking the cube root of − 8 −8 allows you to place − 2 −2 in front of the radical symbol, which makes it easier to see the transformations. Compared to the parent cube root function, the graph is reflected over both the x-axis and the y-axis due to the negative factors. It is also vertically stretched by a factor of 2, making it steeper than the parent function. Finally, the graph is translated 1 2 2 1 unit to the left, shifting it slightly along the x-axis. This rewritten form allows you to clearly identify all the transformations applied to the parent function
Reread your description. Did it include the following?
leftright✔ updown
What is the range of
The range of is all real numbers.y >= -5.✔ y >= -1.y >= 1.y >= 5.
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