Write the function f(x) given transformations

Write the function f(x) given transformations

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains different types of transformations for functions, focusing on horizontal and vertical shifts. It emphasizes the importance of using parentheses to understand transformation formulas. An example is provided to illustrate shifting a function 3 units up and 2 units to the right. The tutorial also addresses common misconceptions, clarifying that the sign of the transformation constants can be misleading without proper context.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What do the variables C and D represent in function transformations?

C is vertical, D is horizontal

C is horizontal, D is vertical

Both C and D are vertical

Both C and D are horizontal

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If C is negative, in which direction does the graph shift?

Up

Down

Left

Right

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the graph when D is positive?

It shifts down

It shifts to the right

It shifts to the left

It shifts up

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example provided, how many units is the graph shifted upwards?

5 units

4 units

3 units

2 units

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the correct interpretation of a positive C in the example?

The graph shifts down

The graph shifts left

The graph shifts right

The graph shifts up