What is the effect of adding a constant to a function, such as in $$f(x) + c$$ ?

Adding a constant $$c$$ shifts the graph vertically. If $$c > 0$$ , the graph shifts up; if $$c

What is the effect of subtracting a constant from the input of a function, such as in $$f(x - c)$$ ?

Subtracting a constant from the input shifts the graph horizontally. If $$c > 0$$ , the graph shifts right; if $$c

What does the transformation $$f(kx)$$ do to the graph of a function?

The transformation $$f(kx)$$ compresses or stretches the graph horizontally. If $$k > 1$$ , it compresses; if $$0

How does the equation $$g(x) = x^2 - 5$$ transform the parent function?

The equation shifts the graph of the parent function down by 5 units.

What does the transformation $$g(x) = 5x^2 + 2$$ indicate about the graph?

This indicates a vertical stretch by a factor of 5 and a shift upward by 2 units.

What is the transformation represented by $$f(x - 2)$$ ?

The transformation shifts the graph of the function 2 units to the right.

Which transformation is represented by the equation $$(x - 2)^2$$ ?

This transformation represents a shift of the graph of $$f(x) = x^2$$ 2 units to the right.

What does the transformation $$f(x) + 3$$ do to the graph?

This transformation shifts the graph of the function up by 3 units.

What is the effect of the transformation $$f(-x)$$ on the graph?

The transformation reflects the graph of the function across the y-axis.

What does the transformation $$g(x) = -f(x)$$ do to the graph?

This transformation reflects the graph of the function across the x-axis.

What is the significance of the coefficient in front of $$f(x)$$ , such as in $$g(x) = kf(x)$$ ?

The coefficient $$k$$ affects the vertical stretch or shrink of the graph. If $$k > 1$$ , it stretches; if $$0

Transformations of Functions Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a transformation of a function?

Back

A transformation of a function is an operation that alters the position, size, or shape of the graph of the function.

2.

FLASHCARD QUESTION

Front

What does a vertical stretch of a function do?

Back

A vertical stretch multiplies the output values of the function by a factor greater than 1, making the graph taller.

3.

FLASHCARD QUESTION

Front

What does a vertical shrink of a function do?

Back

A vertical shrink multiplies the output values of the function by a factor between 0 and 1, making the graph shorter.

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

What is the parent function of a quadratic function?

Back

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