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

The domain of the function is all non-negative real numbers, i.e., $$[0, \text{∞})$$ .

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

The range of the function is all non-negative real numbers, i.e., $$[0, \text{∞})$$ .

What is the effect of multiplying a square root function by a constant?

Multiplying by a constant stretches or compresses the graph vertically. For example, $$y = 2\text{sqrt}(x)$$ stretches the graph by a factor of 2.

What is the equation of a square root function that opens downwards?

The equation is of the form $$y = -\text{sqrt}(x - h) + k$$ , where h and k determine the vertex.

What is the vertex of the function $$y = \text{sqrt}(x - 4) + 2$$ ?

The vertex is at the point (4, 2).

What is the transformation represented by the equation $$y = \text{sqrt}(x + 3) - 2$$ ?

This equation shifts the graph left by 3 units and down by 2 units.

How do you determine if a function is a square root function?

A function is a square root function if it can be expressed in the form $$y = \text{sqrt}(x - h) + k$$ .

What is the general form of a square root function?

The general form is $$y = a\text{sqrt}(x - h) + k$$ , where a, h, and k affect the shape and position of the graph.

Square Root Functions Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a square root function?

Back

Tags

CCSS.HSF-IF.C.7B

2.

FLASHCARD QUESTION

Front

How does the graph of a square root function look?

Back

The graph of a square root function is a curve that starts at the origin (0,0) and increases gradually, moving to the right.

Tags

CCSS.HSF-IF.C.7B

3.

FLASHCARD QUESTION

Front

Back

The equation shifts the graph of the square root function to the right by h units.

Tags

CCSS.HSF-IF.C.7B

4.

FLASHCARD QUESTION

Front

Back

The equation shifts the graph of the square root function up by k units.

Tags

CCSS.HSF-IF.C.7B

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

How do you write the equation of a square root function that shifts right 5 units and down 1 unit?

Back

Tags

CCSS.HSF-IF.C.7B

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