What does the transformation $$f(x) = \text{sqrt}(x) + 5$$ indicate?

This indicates a vertical shift upward by 5 units.

What is the transformation of $$f(x) = \text{sqrt}(x - 4) + 1$$ ?

Translate right 4 units and up 1 unit.

What does the transformation $$f(x) = -\text{sqrt}(x + 2) + 3$$ indicate?

Translate left 2 units, reflect over the x-axis, and shift up 3 units.

How do you identify the transformations in $$f(x) = \text{sqrt}(x + 2) - 4$$ ?

Shift left 2 units and down 4 units.

What are the values of a, b, c, and d in the function $$f(x) = a\text{sqrt}(b(x - c)) + d$$ ?

a is the vertical stretch/compression, b is the horizontal stretch/compression, c is the horizontal shift, and d is the vertical shift.

What does the transformation $$f(x) = \text{sqrt}(x) - 1$$ indicate?

This indicates a vertical shift downward by 1 unit.

What is the effect of a negative value of a in $$f(x) = a\text{sqrt}(x)$$ ?

It reflects the graph over the x-axis.

Describe the transformation of $$f(x) = \text{sqrt}(x - 1) + 2$$ .

Translate right 1 unit and up 2 units.

Transformations of Square Root Functions Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the parent function of square root functions?

Back

2.

FLASHCARD QUESTION

Front

Back

This represents a horizontal shift to the right by h units.

Tags

CCSS.HSF.BF.B.3

3.

FLASHCARD QUESTION

Front

Back

This represents a vertical shift upward by k units.

Tags

CCSS.HSF.BF.B.3

4.

FLASHCARD QUESTION

Front

Back

This represents a reflection over the x-axis.

Tags

CCSS.HSF.BF.B.3

5.

FLASHCARD QUESTION

Front

Back

This represents a reflection over the y-axis.

Tags

CCSS.HSF.BF.B.3

6.

FLASHCARD QUESTION

Front

Back

Translate left 3 units and down 2 units.

Tags

CCSS.HSF.BF.B.3

7.

FLASHCARD QUESTION

Front

Back

If a > 1, the graph stretches vertically; if 0 < a < 1, it compresses vertically.

Tags

CCSS.HSF-IF.C.7B

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