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Transformations of Functions

Authored by Wayground Content

Mathematics

9th Grade

Used 28+ times

Transformations of Functions
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15 questions

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1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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

The transformation shifts the graph to the right.

The transformation stretches the graph vertically.

The transformation compresses the graph horizontally.

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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

It reflects the graph vertically.

It compresses or stretches the graph horizontally.

It shifts the graph vertically.

It rotates the graph around the origin.

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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

A shift of the graph of @@f(x) = x^2@@ 2 units to the right.

A reflection of the graph of @@f(x) = x^2@@ across the x-axis.

A vertical stretch of the graph of @@f(x) = x^2@@ by a factor of 2.

A shift of the graph of @@f(x) = x^2@@ 2 units to the left.

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the parent function of a quadratic function?

@@f(x) = x^2@@

@@f(x) = x@@

@@f(x) = x^3@@

@@f(x) = rac{1}{x}@@

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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

It determines the horizontal shift of the graph.

It affects the vertical stretch or shrink of the graph. If @@k > 1@@, it stretches; if @@0 < k < 1@@, it shrinks.

It changes the color of the graph.

It has no effect on the graph.

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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

It shifts the graph vertically.

It shifts the graph horizontally; if @@c > 0@@, the graph shifts right; if @@c < 0@@, it shifts left.

It reflects the graph across the x-axis.

It stretches the graph vertically.

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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

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

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

This transformation reflects the graph across the x-axis.

This transformation stretches the graph vertically by a factor of 3.

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