Algebra Vocabulary Chapter 3

Question 1

Names for a Graph

There are 3

Answer 1

Coordinate Plane
Cartesian Plane
Coordinate Grid

Question 2

Coordinate Pair

Answer 2

Value for x and value for y
Tells us a fixed location or point on a graph

x comes first in parentheses

Question 3

Orgin

Answer 3

Where the axis meet

(0, 0)

Question 4

Interval

Answer 4

Space between two numbers on a graph

Must always be the same

Question 5

Quadrants

Answer 5

There are 4 of these
Identified with roman numerals

I, II, III, IV

Question 6

X-axis

Answer 6

Horizontal line
Y value is always 0

Question 7

Y-axis

Answer 7

Vertical line
X value is always 0

Question 8

Are axis part of quadrants?

Answer 8

No

Question 9

X-intercept

Answer 9

Where a line hits the x-axis

What is x when y = 0?

Question 10

Y-intercept

Answer 10

Where a line hits the y-axis

What is y when x = 0?

Question 11

Linear Equation

Answer 11

Straight line
Hits each axis no more than once (Unless it is horizontal/vertical)
Has 1 or 2 variables

Question 12

What does Standard Form look like?

Answer 12

Ax + By = C

Question 13

Question to Find Slope

Answer 13

How much does y increase/decrease when x increases by 1?

Question 14

2 Ideas for Finding Slope

Answer 14

Rate of Change
Rise over Run

Question 15

Can constant change be multiplication or division?

Answer 15

No. It can only be addition or subtraction.

Question 16

Slope Formula

Answer 16

m = y{2} - y{1} / x{2} - x{1}

{} means subscript

Question 17

Slope Intercept Form

Answer 17

y = mx + b

Question 18

Steps to Graph Slope Intercept Form

Answer 18

1. Plot the y-intercept
2. Use the slope to find second point
3. Put a line through the 2 points

Question 19

Which variable is the indpendant/dependant?

x and y

Answer 19

x = indpendant
y = dependant

Question 20

Transformations

Answer 20

Taking a graphed line and moving it in some way

Question 21

How many types of transformations are there?

Answer 21

3

Question 22

Translations

Transformation 1

Answer 22

Sliding
Adding or subtracting to x
Changing the y-intercept

Question 23

Dialation

Transformation 2

Answer 23

Steeper or flatter
Changing the slope
Multiplying x by anything (but 1 or 0)

Absolute value is > 1 = steeper
Absolute value < 1 = flatter

Question 24

Reflection

Transformation 3

Answer 24

Mirror image

y = x’s reflection is y = -x

Question 25

Parent Equation

Answer 25

Most basic equation | y = x or f(x) = x y = |x|or f(x) = |x|

Question 26

Parent Equation

Answer 26

Most basic equation | y = x or f(x) = x y = |x|or f(x) = |x|

Question 27

Arithmetic Sequence

Answer 27

Pattern that continues by addition or subtraction

Question 28

Common Difference

Answer 28

Distance between terms Written as "d" | "What are we adding/subtracting each time?"

Question 29

Arithmetic Sequence Equation

Answer 29

A{n} = A{1} + (n - 1)d | {} means subscript

Question 30

Domain and Range

Answer 30

Domain: All the possible x values Range: All the possible y values

Question 31

What makes a function a function?

Answer 31

For every input (x), there is exactly one output (y)

Question 32

Vertical Line Test

Answer 32

If you can draw a vertical line anywhere on the graph and touch more than one point, it is not a function

Question 33

What does a graphed open circle mean?

Answer 33

That point doesn't count

Question 34

Piecewise Function

Answer 34

There are multiple rules for x

Question 35

If you are ADDING or SUBTRACTING out of the absolute value sign... | How does the parent function move?

Answer 35

The parent function moves straight up or straight down

Question 36

If you are ADDING or SUBTRACTING inside of the absolute value sign... | How does the parent function move?

Answer 36

Subtraction: Move right Addition: Move left

Question 37

If we are MULTIPLYING x... | How does the parent function move?

Answer 37

Larger than |x| = steeoer Smaller than |x| = flatter

Question 38

If there is a NEGATIVE SIGN outside of the absolute value sign... | How does the parent function move?

Answer 38

The angle is turned upside down / reflected across the x-axis