Linear Transformations

Linear Transformations

Assessment

Flashcard

Mathematics

8th Grade

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a linear transformation?

Back

A linear transformation is a function between two vector spaces that preserves the operations of vector addition and scalar multiplication.

2.

FLASHCARD QUESTION

Front

What is the linear parent function?

Back

The linear parent function is f(x) = x, which represents a straight line through the origin with a slope of 1.

3.

FLASHCARD QUESTION

Front

If f(x) = x is shifted down 6 units, what is the new function?

Back

g(x) = f(x) - 6, which simplifies to g(x) = x - 6.

4.

FLASHCARD QUESTION

Front

What effect does multiplying a function by a fraction have on its steepness?

Back

Multiplying a function by a fraction less than 1 makes it less steep.

5.

FLASHCARD QUESTION

Front

What is the slope of the line represented by the function y = 3x + 8?

Back

The slope is 3.

6.

FLASHCARD QUESTION

Front

If the function f(x) = x is transformed to g(x) = 2f(x), what is the transformation?

Back

The transformation is a vertical stretch by a factor of 2.

7.

FLASHCARD QUESTION

Front

What happens to the graph of f(x) = x when it is replaced with f(x) + 4?

Back

The graph shifts up 4 units.

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