By: Banvir Ghumman
What Even is a Quadratic Relationship?
Graphing Using Vertex Form
Summary of the Vertex Form
- Helps with finding out if the parabola is stretched or compressed parabola is (a)
- Tells you the vertex (h,k)
- Helps you figure out if the vertex opens up or down
- To find y-intercept set x=0
- To solve x-intercept set y=0 and solve to get the standard equation and simplify with the quadratic formula
This value is to help figure out the x value and also H defines the transformation if it is negative the vertex moves left and if it is positive the vertex will move right.
This value is to help figure out the y value and also k defines the transformation of if k is positive the vertex will move up and if k is negative the vertex will move down
The parabola is the A value that transforms the vertex by stretching the parabola on the x value
A= Positive opens up
A= Negative opens down
First and Second Differences
Word Problem using Vertex Form
Learn how to graph vertex form
Learn the difference between 1st and 2nd differences
Learn how to use the vertex equation
Khan Academy. N.p., n.d. Web. 08 May 2016.
Grundlehren Der Mathematischen Wissenschaften Modular Units (1981): 58-80.Page 6 for the Image. Web.
Part #2 Factored Form
What is Factored Form?
form of an algebraic expression in which no part of the expression can be made simpler by pulling out a common factor.
Common Factors/ GCF
The factors of a number are two numbers multiplied together to equal that number an example would be if you have 15 and 24 they have a common factor of 3 because 15 can be multiplied 3x5 and 24 can be multiplied 3x8
Also GCF which is the greatest common factor which is found when solving for common factors the greatest common factor is highest number that can be multiplied to get the number as shown in the picture below.
Expanding Factored form/ Multiplying Binominals
so you would end with x(squared) + x2 + 1x+ 3 as your standard form
R and S value
R and S are values that initially will end up always being your x intercepts
Also A will always be equal to 1
Graphing Factored Form
Simple Factoring/Factoring X2+ bx+c
Solving Word Problems using factoring
To learn how to multiply polynomials
To learn how to factor using a graph
To Learn how to solve a word problem using factoring
YouTube. N.p., n.d. Web. 08 May 2016.
YouTube. YouTube, 17 Jan. 2014. Web. 08 May 2016.
Part # 3 Standard Form
In this unit you learn about many different things which are maxima and minima, completing the square, solving quadratic equations and graphing quadratics using the x- intercepts
Completing the Square
Maxima and Minima
Solving Quadratic Relations
Secondly you need to determine the values of abc from the question or word problem or etc.
Lastly substitute the values in the formula and simplify
Also the value of C is the y-intercept and the value of A is different shape or size of opening
Graphing Using X- Intercepts
Word Problems using Quadratic Formula
My best assessment mark
Learn how to use quadratic formula
Learn how to complete a square