What does the transformation 'Reflect over x-axis' do to the function $$f(x) = \sqrt{x}$$ ?

It changes the function to $$f(x) = -\sqrt{x}$$ , flipping it upside down.

What is the effect of the transformation 'Up 1' on the function $$f(x) = \sqrt{x}$$ ?

The new function is $$f(x) = \sqrt{x} + 1$$ , shifting the graph up by 1 unit.

What is the effect of the transformation 'Down 1' on the function $$f(x) = \sqrt{x}$$ ?

The new function is $$f(x) = \sqrt{x} - 1$$ , shifting the graph down by 1 unit.

How does the graph of $$f(x) = \sqrt{x}$$ compare to $$f(x) = \sqrt{x - 5}$$ ?

The graph of $$f(x) = \sqrt{x - 5}$$ is shifted right by 5 units.

What is the effect of the transformation 'Reflect over y-axis' on the function $$f(x) = \sqrt{x}$$ ?

It changes the function to $$f(x) = \sqrt{-x}$$ , reflecting it across the y-axis.

Describe the transformation of the function $$f(x) = \sqrt{x}$$ to $$f(x) = \sqrt{x + 4}$$ .

The graph is shifted left by 4 units.

What is the effect of the transformation 'Right 5' on the function $$f(x) = \sqrt{x}$$ ?

The new function is $$f(x) = \sqrt{x - 5}$$ , shifting the graph right by 5 units.

Graph Square Root Functions Flashcards

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15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

Back

The graph of the function is a square root function that starts at the point (-3, 0) and increases to the right.

Tags

CCSS.HSF-IF.C.7B

2.

FLASHCARD QUESTION

Front

Back

The range is y ≥ 0.

3.

FLASHCARD QUESTION

Front

Back

The domain is x ≥ -3.

4.

FLASHCARD QUESTION

Front

Back

The graph is shifted left by 3 units.

Tags

CCSS.HSF.BF.B.3

5.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF.BF.B.3

6.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF.BF.B.3

7.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF.BF.B.3

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