Graph Transformations and Exponential Functions

Graph Transformations and Exponential Functions

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Patricia Brown

FREE Resource

The video tutorial covers the concept of transformations, focusing on the function y = e^x. It explores how to find the equations of graphs resulting from reflections about the lines y = 2 and x = 3. The instructor sketches the graphs, explains the reflection process, and derives the equations for the reflected graphs, emphasizing the importance of understanding these transformations.

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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main function discussed in the video?

y = ln(x)

y = e^x

y = x^2

y = sin(x)

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of reflecting the graph of y = e^x over the line y = 2?

The graph shifts up by 2 units

The graph shifts down by 2 units

The graph is mirrored over y = 2

The graph remains unchanged

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the horizontal asymptote of the function y = e^x?

y = 1

y = 2

y = 3

y = 0

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the graph of y = e^x change when reflected over the line x = 3?

It shifts left by 3 units

It shifts right by 3 units

It is mirrored over x = 3

It remains unchanged

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the approximate value of e used in the video?

3.14

2.18

2.71

1.62

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the equation of the graph after reflecting y = e^x over y = 2?

y = e^x + 2

y = -e^x - 2

y = e^x - 2

y = -e^x + 2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What transformation occurs when reflecting over the x-axis?

Reflection

Horizontal shift

Vertical shift

Rotation

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