Transformations of Exponential Functions

Transformations of Exponential Functions

Assessment

Interactive Video

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

Created by

Thomas White

FREE Resource

The video tutorial discusses the transformation of the natural exponential function. It guides viewers through sketching the curve of y = -4e^(-3x) by applying a series of transformations to the graph of y = e^x. These transformations include horizontal compression, reflection about the Y-axis, vertical stretch, and reflection about the X-axis. Each transformation is explained step-by-step, with viewers encouraged to apply these techniques to similar problems.

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27 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main topic discussed in this video clip?

Transformation of quadratic functions

Transformation of the natural exponential function

Transformation of logarithmic functions

Transformation of trigonometric functions

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial problem to be solved in the video?

Integrating the function y = e^x

Solving the equation y = e^x for x

Finding the derivative of y = e^x

Sketching the curve of y = -4e^(-3x)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of the transformations discussed in the video?

To solve differential equations

To find the roots of an exponential equation

To sketch the graph of a transformed exponential function

To calculate the area under the curve

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of the transformations discussed in the video?

To find the roots of an exponential equation

To calculate the area under the curve

To sketch the graph of a transformed exponential function

To solve differential equations

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the y-intercept of the graph y = e^x?

3

2

1

0

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the shape of the graph of y = e^x?

Logarithmic

Exponential

Linear

Parabolic

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial y-intercept of the graph y = e^x?

0

1

2

3

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