what are the transformation of the logarithmic graph compared to exponential

what are the transformation of the logarithmic graph compared to exponential

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the characteristics and transformations of exponential and logarithmic graphs. It explains how parameters A, H, and K affect graph transformations, including reflection, shifting, compression, and stretching. The tutorial emphasizes the importance of understanding these transformations for both exponential and logarithmic functions, and concludes with a Q&A session.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary role of 'A' in the equation y = A * B^(X - H) + K?

To change the base of the exponential

To reflect the graph

To shift the graph left or right

To adjust the slope of the graph

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the context of graph transformations, what does 'H' primarily affect?

The base of the logarithm

The reflection of the graph

The horizontal shift of the graph

The vertical stretch of the graph

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does 'K' influence the graph in the transformation equation?

It changes the base of the function

It shifts the graph up or down

It reflects the graph horizontally

It compresses the graph vertically

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What additional effect does 'A' have on the graph besides reflection?

It changes the base of the function

It shifts the graph horizontally

It alters the logarithmic base

It affects compression or stretching

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the equation is y = A * B^(X + 1), what transformation occurs?

The graph compresses vertically

The graph shifts 1 unit to the right

The graph shifts 1 unit to the left

The graph reflects over the x-axis