Identify the function that represents a vertical shift of 3 units upwards from F(x) = $$\text{sqrt}{x}$$ .

F(x) = $$\text{sqrt}{x} + 3$$ .

What is the equation of the function that results from shifting F(x) = $$\text{sqrt}{x}$$ to the left by 3 units?

F(x) = $$\text{sqrt}{x + 3}$$ .

What does the notation F(x) = $$\text{sqrt}{x - 3} - 2$$ represent in terms of transformations?

It represents a right shift of 3 units and a downward shift of 2 units.

How do you find the x-intercept of the function F(x) = $$\text{sqrt}{x} + 3$$ ?

Set F(x) = 0 and solve for x: $$\text{sqrt}{x} + 3 = 0$$ has no real solution.

What is the effect of adding a constant outside the square root function, such as in F(x) = $$\text{sqrt}{x} + k$$ ?

It shifts the graph vertically by k units.

What is the equation of the function that results from shifting F(x) = $$\text{sqrt}{x}$$ down by 2 units?

F(x) = $$\text{sqrt}{x} - 2$$ .

If the function is F(x) = - $$\text{sqrt}{x + 1}$$ , what transformation does this represent?

It reflects the graph across the x-axis and shifts it left by 1 unit.

What is the relationship between the graph of F(x) = $$\text{sqrt}{x}$$ and F(x) = $$\text{sqrt}{x - 3}$$ ?

F(x) = $$\text{sqrt}{x - 3}$$ is the graph of F(x) = $$\text{sqrt}{x}$$ shifted to the right by 3 units.

A.A Unit 3 Remediation Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

Back

The domain is x >= 0.

2.

FLASHCARD QUESTION

Front

What does the transformation 'Down 2 and Right 3' mean for the function F(x)?

Back

It means to shift the graph of F(x) down by 2 units and to the right by 3 units.

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

It reflects the graph across the x-axis.

5.

FLASHCARD QUESTION

Front

How do you determine the vertical shift of a function from its equation?

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

Back

The range is y >= 3.

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