Algebra Vocabulary Chapter 3 Flashcards

1
Q

Names for a Graph

There are 3

A

Coordinate Plane
Cartesian Plane
Coordinate Grid

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2
Q

Coordinate Pair

A

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

x comes first in parentheses

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3
Q

Orgin

A

Where the axis meet

(0, 0)

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4
Q

Interval

A

Space between two numbers on a graph

Must always be the same

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5
Q

Quadrants

A

There are 4 of these
Identified with roman numerals

I, II, III, IV

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6
Q

X-axis

A

Horizontal line
Y value is always 0

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7
Q

Y-axis

A

Vertical line
X value is always 0

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8
Q

Are axis part of quadrants?

A

No

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9
Q

X-intercept

A

Where a line hits the x-axis

What is x when y = 0?

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10
Q

Y-intercept

A

Where a line hits the y-axis

What is y when x = 0?

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11
Q

Linear Equation

A

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

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12
Q

What does Standard Form look like?

A

Ax + By = C

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13
Q

Question to Find Slope

A

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

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14
Q

2 Ideas for Finding Slope

A

Rate of Change
Rise over Run

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15
Q

Can constant change be multiplication or division?

A

No. It can only be addition or subtraction.

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16
Q

Slope Formula

A

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

{} means subscript

17
Q

Slope Intercept Form

A

y = mx + b

18
Q

Steps to Graph Slope Intercept Form

A
  1. Plot the y-intercept
  2. Use the slope to find second point
  3. Put a line through the 2 points
19
Q

Which variable is the indpendant/dependant?

x and y

A

x = indpendant
y = dependant

20
Q

Transformations

A

Taking a graphed line and moving it in some way

21
Q

How many types of transformations are there?

A

3

22
Q

Translations

Transformation 1

A

Sliding
Adding or subtracting to x
Changing the y-intercept

23
Q

Dialation

Transformation 2

A

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

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

24
Q

Reflection

Transformation 3

A

Mirror image

y = x’s reflection is y = -x

25
Q

Parent Equation

A

Most basic equation

y = x or f(x) = x
y = |x|or f(x) = |x|

26
Q

Parent Equation

A

Most basic equation

y = x or f(x) = x
y = |x|or f(x) = |x|

27
Q

Arithmetic Sequence

A

Pattern that continues by addition or subtraction

28
Q

Common Difference

A

Distance between terms
Written as “d”

“What are we adding/subtracting each time?”

29
Q

Arithmetic Sequence Equation

A

A{n} = A{1} + (n - 1)d

{} means subscript

30
Q

Domain and Range

A

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

31
Q

What makes a function a function?

A

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

32
Q

Vertical Line Test

A

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

33
Q

What does a graphed open circle mean?

A

That point doesn’t count

34
Q

Piecewise Function

A

There are multiple rules for x

35
Q

If you are ADDING or SUBTRACTING out of the absolute value sign…

How does the parent function move?

A

The parent function moves straight up or straight down

36
Q

If you are ADDING or SUBTRACTING inside of the absolute value sign…

How does the parent function move?

A

Subtraction: Move right
Addition: Move left

37
Q

If we are MULTIPLYING x…

How does the parent function move?

A

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

38
Q

If there is a NEGATIVE SIGN outside of the absolute value sign…

How does the parent function move?

A

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