What is the domain of the function $$f(x) = \text{sqrt}(x)$$ ?

The domain is $$[0, \text{infinity})$$ .

What is the inverse of the function $$f(x) = \text{sqrt}(x)$$ ?

The inverse is $$f^{-1}(x) = x^2$$ for $$x \text{ in } [0, \text{infinity})$$ .

What is the effect of a negative sign in front of a radical function, such as $$y = -\text{sqrt}(x)$$ ?

It reflects the graph across the x-axis.

What is the domain of the function $$f(x) = \text{sqrt}(x - 4)$$ ?

The domain is $$[4, \text{infinity})$$ .

How does the equation $$y = \text{sqrt}(x - 3) + 2$$ transform the graph?

It shifts the graph right by 3 units and up by 2 units.

What is the range of the function $$f(x) = \text{sqrt}(x)$$ ?

The range is $$[0, \text{infinity})$$ .

What transformation does $$y = \text{sqrt}(x + 1) + 5$$ represent?

It shifts the graph left by 1 unit and up by 5 units.

What is the domain of the function $$g(x) = \text{sqrt}(x + 2)$$ ?

The domain is $$[-2, \text{infinity})$$ .

How do you determine the domain of a radical function?

Set the expression inside the radical greater than or equal to zero and solve for x.

What does the transformation $$y = \text{sqrt}(x) + 3$$ do to the graph?

It shifts the graph up by 3 units.

Practice transformation on radical functions Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the parent function of a radical function?

Back

2.

FLASHCARD QUESTION

Front

Back

It shifts the graph of the parent function left by 3 units.

3.

FLASHCARD QUESTION

Front

Back

It shifts the graph of the parent function down by 3 units.

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

How do you find the inverse of a function?

Back

To find the inverse, swap the x and y variables and solve for y.

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

Back

It shifts the graph left by 4 units and down by 6 units.

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