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Quadratic Parent Function
 y = x^{2}
 Domain: All real Numbers
 Range
 ^{}

Parent Function
 The most basic graph (no shifts, stretches, etc.).
 *Must go through the origin*
 *Must be positive*

Linear Parent Function
 y = x
 Domain: All Real Numbers
 Range: All Real Numbers

Domain
 The XVALUES for a given function
 The INPUT values for a given function

Range
 The YVALUES for a given function
 The OUTPUT values for a given function

Continuous Data
Data that is connected
DoLoR the RoBoT
 Domain Left to Right
 Range Bottom to Top

Slope
per
rate of change
attached to "x"
________ per __________

Equation of a line
y = mx + b
m = slope (how much you Move)
b = y  intercept (where you Begin)

X  intercept
Point where the graph crosses the xaxis
when y = 0
(x, 0)
aka: Root, zero, solution

Y  intercept
Point where a graph crosses the yaxis
when x = 0
(0, y)
The initial value, starting point, first

Negative Exponents
To make an exponent positive, move it to either the top or bottom (the opposite of where it starts at).
Remember: Negative exponents are unhappy so we must MOVE them to make them happy!

Negative Slope
Goes down from Left to right

Positve Slope
Goes Up from left to right

Undefined slope
Up and Down is Undefined
 All equations: x=#

Zero Slope
Acr Oss
y = a#
 (it can be graphed in the calculator)

Solution to a system of equations
 The point where the two graphs intersect

Solving equations
The value or values that make the equation or inequality true
(plug in the values and see which one works)

Vertex
Lowest (minimum) or highest (maximum) point of a parabola

Direct Variation
Change it to "divided by"  its the same thing as slope!


Parabola
The graph of a quadratic equation (y = x ^{2})
Positive opens up, negative opens down

Origin
(0,0)

a is INSIDE so its a HORIZONTAL stretch/compress
a > 1  Horizontal COMPRESSION
0<a<1 (means a is between 0 and 1)  Horizontal Stretch
HIO (Horizontal Inside Opposite)

y=ax^{2}
"a" stretches/compresses the graph  a is OUTSIDE so its effects the graph vertically
a > 1  Vertical STRETCH
0<a<1 (means a is between 0 and 1)  Vertical COMPRESSION


Solutions of a quadratic equation
SOLUTIONS, ROOTS ZEROS, XINTERCEPTS
(where the graph crosses the xaxis)

perimeter
The distance around the outside of a figure
How to find it: Add up all the sides
(in a circle, it is called the circumference)

Less than or equal to
 <
 Made with the LEFT hand
 shade BELOW
 Use Solid Line or Solid Circle

Less than
 <
 Made with the LEFT hand
 shade BELOW
 Use Dashed Line or Open Circle

Greater Than or Equal To
 >
 Made with the RIGHT hand
 shade ABOVE
 Use Dashed Line or Open Circle

Greater than
 >
 Made with the RIGHT hand
 shade ABOVE
 Use Dashed Line or Open Circle

Parallel lines
Have the same slope
Never touch

Perpendicular lines
Meet at a 90 ^{o} angle

Line of symmetry
A line that can be drawn through a figure that causes both sides to look identical

function
 The x’s don’t repeat!!!
 Passes the vertical line test
 (if you draw a vertical line anywhere on the graph it only touches the graph once)

Dependent Variable
(dependent quantity)
 Y
 Variable who’s value DEPENDS on another variable
 (must be an unknown)
 What occurs second

Independent Variable
(independent quantity)
 X
 Variable who’s value can be chosen
 If given an equation, it is the variable IN the equation
 (must be an unknown)
 What occurs first

Discrete Data
Data that is disconnected

Multiplying Polynomials
Use the box method


Plotting Points
(x, y)
 1st  Left or Right
 2nd  Up or Down

