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Vertical Translations of Functions

Vertical Translations of Functions

Assessment

Interactive Video

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

Created by

Ethan Morris

FREE Resource

The video tutorial explores vertical translations of linear functions by reviewing the basic linear function, f(x) = x, and discussing function notation. It compares graphs of functions to identify transformations, focusing on vertical translations that affect y-coordinates. The tutorial explains algebraic representations and further explores transformations using coordinate notation, emphasizing the similarities between transformed functions.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the basic linear function that serves as the parent for all linear functions?

f(x) = x + 1

f(x) = x

f(x) = 2x

f(x) = x - 1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the context of vertical translations, what does the term 'parent function' refer to?

The function with the largest slope

The function with the highest degree

The simplest form of a function

The function with the smallest y-intercept

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does function notation help in specifying inputs?

It allows for multiple outputs.

It specifies the exact input used.

It eliminates the need for a graph.

It changes the function's slope.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main difference between the graphs of f(x) and g(x) in the context of vertical translation?

Different slopes

Different x-intercepts

Different domains

Different y-intercepts

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What remains unchanged in a vertical translation of a function?

The y-intercept

The x-intercept

The slope

The domain

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If f(x) = x and g(x) = x + 3, what transformation has occurred?

Rotation

Vertical translation

Horizontal translation

Reflection

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the algebraic representation of g(x) if f(x) = x + 3 and g(x) is vertically translated by 4 units?

g(x) = x + 1

g(x) = x + 7

g(x) = x + 3

g(x) = x + 4

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