How does the domain change based on the transformations of a radical function

How does the domain change based on the transformations of a radical function

Assessment

Interactive Video

Mathematics, Information Technology (IT), Architecture

11th Grade - University

Hard

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The video tutorial explains the concept of factoring in algebra, emphasizing the need to factor out coefficients that are not one. It covers the process of factoring as dividing by a number and introduces the idea of multiplying by the reciprocal when dealing with fractions. The tutorial also discusses transformations, such as horizontal stretching and shifting, and how they affect the graph of a function. The importance of having a coefficient of one for the variable is highlighted, and the video concludes with an explanation of the domain and range of the function.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the process of factoring out a coefficient from an expression similar to?

Subtracting a constant

Dividing by a number

Multiplying by zero

Adding a constant

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When factoring out 1/2 from an expression, what operation is equivalent to dividing by 1/2?

Multiplying by 1/2

Dividing by 2

Adding 2

Multiplying by 2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After factoring out 1/2 from the expression, what is the simplified form?

2X + 4

X + 2

X - 4

X + 4

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the effect on the graph when the X variable has a coefficient that is not 1?

Vertical stretch

No effect

Horizontal stretch

Vertical shift

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the domain of the function after the transformations are applied?

From -4 to Infinity

From 0 to Infinity

From -Infinity to 4

From -Infinity to 0