How to graph an exponential equation with multiple transformations

How to graph an exponential equation with multiple transformations

Assessment

Interactive Video

Mathematics, Social Studies

11th Grade - University

Hard

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the basic form of an exponential equation discussed in the video?

y = a * b^x

y = a * x^b

y = a / b^x

y = a + b^x

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the context of exponential equations, what does the 'a' value represent?

The y-intercept

The asymptote

The x-intercept

The slope of the graph

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does a negative exponent affect the graph of an exponential function?

It reflects the graph over the y-axis

It shifts the graph upwards

It reflects the graph over the x-axis

It shifts the graph downwards

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the role of an asymptote in an exponential graph?

It determines the slope of the graph

It is the point where the graph starts

It is a line that the graph approaches but never touches

It is the maximum value of the graph

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What determines whether an exponential graph represents growth or decay?

The sign of the exponent

The value of 'b'

The value of 'a'

The presence of an asymptote

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If 'b' is greater than 1, what type of graph does it represent?

Decay

Constant

Growth

Linear

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the graph of y = 5^x compared to y = 2^x?

It decreases more slowly

It increases more quickly

It shifts to the left

It shifts to the right