What does the equation $$y = -x$$ represent graphically?

The equation $$y = -x$$ represents a line with a slope of -1 that passes through the origin, forming a diagonal line that descends from left to right.

What is the effect of adding a constant to a function, such as in $$g(x) = f(x) + 3$$ ?

Adding a constant to a function shifts the graph vertically. In this case, the graph of $$f(x)$$ is shifted up by 3 units.

What does the transformation $$g(x) = f(x - 3)$$ indicate?

The transformation $$g(x) = f(x - 3)$$ indicates a horizontal shift of the graph of $$f(x)$$ to the right by 3 units.

What is the significance of the y-intercept in a linear equation?

The y-intercept is the point where the line crosses the y-axis, represented by the value of $$b$$ in the equation $$y = mx + b$$ .

How can you determine the slope of a line from its graph?

To determine the slope from a graph, select two points on the line, calculate the rise (change in y) and run (change in x), and divide rise by run.

What is the graph of the function $$y = (x - 2)^3 - 4$$ ?

The graph of $$y = (x - 2)^3 - 4$$ is a cubic function that is shifted 2 units to the right and 4 units down from the basic cubic function $$y = x^3$$ .

What does a negative slope indicate about a line?

A negative slope indicates that the line descends from left to right on a graph.

What is the relationship between the slopes of parallel lines?

Parallel lines have the same slope, meaning they never intersect and maintain a constant distance apart.

What is the relationship between the slopes of perpendicular lines?

Perpendicular lines have slopes that are negative reciprocals of each other, meaning the product of their slopes is -1.

How do you find the slope of a line given two points, (x1, y1) and (x2, y2)?

The slope is calculated using the formula: $$m = \frac{y2 - y1}{x2 - x1}$$ .

What is the importance of understanding transformations of functions?

Understanding transformations helps in predicting how the graph of a function will change with modifications, aiding in graphing and function analysis.

Function Review - Graphiing Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the definition of slope in a linear function?

Back

The slope of a linear function is a measure of its steepness, calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise/run).

2.

FLASHCARD QUESTION

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal, meaning there is no change in the y-value as the x-value changes.

3.

FLASHCARD QUESTION

Front

What is the general form of a linear equation?

Back

4.

FLASHCARD QUESTION

Front

How do you identify a line with a positive slope?

Back

A line has a positive slope if it rises from left to right on a graph.

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

Back

Create a free account and access millions of resources

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

10 questions

UH Firewall n Bandwidth

Flashcard

•

12th Grade

15 questions

Linear Relationships

Flashcard

•

9th - 12th Grade

10 questions

Retail Seasonal Calendar

Flashcard

•

11th Grade

10 questions

Narrative Text

Flashcard

•

11th Grade

10 questions

Sayuran Sehat untuk Anak-Anak

Flashcard

•

KG

11 questions

DYLAN CUESTIONARIO

Flashcard

•

KG

15 questions

Simple and Compound Interest

Flashcard

•

11th Grade

9 questions

House Designs and Features

Flashcard

•

11th Grade

Popular Resources on Wayground

5 questions

This is not a...winter edition (Drawing game)

Quiz

•

1st - 5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

10 questions

Identify Iconic Christmas Movie Scenes

Interactive video

•

6th - 10th Grade

20 questions

Christmas Trivia

Quiz

•

6th - 8th Grade

18 questions

Kids Christmas Trivia

Quiz

•

KG - 5th Grade

11 questions

How well do you know your Christmas Characters?

Lesson

•

3rd Grade

14 questions

Christmas Trivia

Quiz

•

5th Grade

20 questions

How the Grinch Stole Christmas

Quiz

•

5th Grade

Discover more resources for Mathematics

15 questions

Mock Fall Final

Quiz

•

9th - 12th Grade

23 questions

Rational Exponents and Simplifying using Exponent Properties

Quiz

•

9th - 12th Grade

12 questions

Polynomials 7-1/7-2/7-3

Lesson

•

9th - 12th Grade

13 questions

Congruent Triangle Proofs

Quiz

•

9th - 12th Grade

14 questions

Permutations and Combinations

Quiz

•

9th - 12th Grade

13 questions

Reading And Writing Numerical Expression

Quiz

•

6th - 12th Grade

11 questions

73 WarmUp: Graphing SOE/Ineqs

Quiz

•

9th - 12th Grade

19 questions

Distributive Property

Quiz

•

6th - 12th Grade