What is the new equation if $$f(x) = x^2$$ is shifted up 3 units?

The new equation is $$f(x) = x^2 + 3$$ .

What is the new equation if $$f(x) = x^2$$ is shifted down 4 units?

The new equation is $$f(x) = x^2 - 4$$ .

What is the transformation of the function $$f(x) = x^3$$ if it is moved down 5 units?

The new function is $$f(x) = x^3 - 5$$ .

What does the transformation $$f(x) = -f(x)$$ indicate?

It indicates a reflection over the x-axis.

What does the transformation $$f(x) = f(-x)$$ indicate?

It indicates a reflection over the y-axis.

If the function $$f(x) = \frac{1}{x}$$ is shifted left 1 unit, what is the new function?

The new function is $$f(x) = \frac{1}{x + 1}$$ .

LT 12 Function Transformations Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Back

The vertex is (1, 3).

2.

FLASHCARD QUESTION

Front

Back

The new vertex is (1 - p, 3 - k).

3.

FLASHCARD QUESTION

Front

Back

It represents a left shift of 3 units.

4.

FLASHCARD QUESTION

Front

Back

It represents an upward shift of 2 units.

5.

FLASHCARD QUESTION

Front

What is the effect of moving a function right by 2 units?

Back

6.

FLASHCARD QUESTION

Front

What is the effect of moving a function down by 2 units?

Back

7.

FLASHCARD QUESTION

Front

Back

Right 2 units.

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