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Definition
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| Quadratic Function (Standard Form) |
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| What Are The Steps To Graphing A Standard Form Quadratic Function? |
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Definition
1.) Know That It is A Parabola
2.) Determine How The Parabola Opens
3.) Find The Vertex (h,k)
4.) Find the X-Intercepts If Any |
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| How Do You Determine How A Parabola Opens For a Quadratic Function? |
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Definition
a>0 It Opens Up
a<0 It Opens Down |
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| Quadratic Functions Have A Minimum Or Maximum Value k at ____ |
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Definition
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| How Do You Find X-Intercepts In a Quadratic Function In Standard Form? |
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Definition
1.) Solve For a(x-h)^2+k=0
2.) If They Are Real Numbers They Are X-Intercepts
3.) If Not and a>0, Then The Parabola Lies Above The X-axis
4.) If Not and a<0, Then The Parabola Lies Below The X-axis |
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| How Do You Find The Y-Intercept In A Quadratic Function In Standard Form? |
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Definition
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| How To Convert A Quadratic Function Into Standard Form? |
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Definition
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| How to Find The Vertex of A Quadratic Function? |
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Definition
1.) h=-b/2a
2.) k=c-(b^2/4a) |
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| What Are The Steps To Graphing A Quadratic Function? |
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Definition
1.) Identify a,b,c
2.) Determine How The Parabola Opens
3.) Find The Vertex
4.) Find The X-Intercepts If Any
5.) Find The Y-Intercept
6.) Find The Axis Symmetry |
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| How to Find The X-Intercept of a Quadratic Function? |
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Definition
1.) Solve For ax^2+bx+c=0
2.) If They Are Real Numbers They Are X-Intercepts
3.) If Not and a>0, Then The Parabola Lies Above The X-axis
4.) If Not and a<0, Then The Parabola Lies Below The X-axis |
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| How To Find The Y-Intercept of A Quadratic Function? |
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Definition
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| How To Find Axis Symmetry For A Quadratic Function? |
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Definition
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| What is the range of a quadratic function? |
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Definition
If a>0, [k,infinity)
If a<0, (-infinity,k] |
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| What Shape Does f(x)=x^2 Make? |
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Definition
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| What Shape Does -|a|x^2 Make? |
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Definition
| A Parabola Flipped Over the X-Axis Pointing Downward |
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Definition
K= Vertical Movement
H= Horizontal Movement
A= Reflection (Slope) |
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| Let L be a horizontal line and (a,b) a point then a parabola is... |
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Definition
| the set of points equal distance from L and (a,b) |
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Definition
Linear Functions
Quadratic Functions
Constant Functions
Power Functions |
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| What is the degree of f(x)=2x |
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Definition
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| What is the Degree of f(x)=0 |
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Definition
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| a(sub"n")X^n [If factored into parts multiply the leading term of each part together to form the overall leading term] |
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| Polynomials are ____ and _____ |
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| "Smooth" In Reference to Polynomials... |
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Definition
Means No Corners
And No Cusps (Curved Corner) |
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| In the power function where the degree is positive.... |
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Definition
| It Behaves like x^2: Parabola |
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| In the power function where the degree is negative.... |
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Definition
It Behaves Like x^3: Dancing Arms
Left Down, Right Up |
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Definition
What happens to f(x) when
x goes to infinity
or
x goes to negative infinity |
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| How Do You Find End Behavior? |
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Definition
| 1.) Figure out what the graph for the leading term looks like to determine what happens to f(x) when x goes to infinity or negative infinity |
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| What Does 1/x^2 appear as on a graph? |
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Definition
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| What Does 1/x appear as on a graph? |
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Definition
| A Diagonal Omnitrix Symbol |
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| What is your constant term? |
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Definition
| It is a normal number at the end of a polynomial or just a zero (If It is In Factored Form You Multiply the normal numbers of each part to form it) |
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| When you multiply exponents they.. |
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Definition
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| If you don't know what the graph looks like and you are finding the end behavior.. |
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Definition
| You use common sense and replace the leading term with infinity, duh |
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