QUADRATIC RELATIONSHIPS
EVERTHING YOU NEED TO KNOW ABOUT GRADE 10 QUADRATIC!!!!!!!
BY: JASDEEP PALHA
THIS IS ONE OF THE MOST BEAUTIFUL PARABOLAS IN THE WORLD
DID YOU EVER NOTICE THIS ONE?
PLACES YOU EAT FROM EVERYDAY HAVE PRABOLAS
Overview of Flyer
In quadiratics we will learn
- important term a definitions
- second differences/ first differences
- types of equations
- factoring
- graphing
- converting
- solving
- word problems
- test reflection
- connection table
- more videos and links
- assesments
Terms & Defintions
- X-intercept- where the parabola intercepts with the x-axis
- Y-intercepts- where the parabola intercepts with the y-axis
- Zeros- the x value which makes the equation equal to zero
- Axis of symmetry- the vertical line which cut the parabola down in the middle
- Optimal value- the tip of the parabola the lowest or highest point of the parabola
- Vertex the maximum or minimum point on the graph changes direction
- These terms are very important to know since they will be refered to in this unit and within in the flyer
Forms of Equations
Standard form
Vertex Form
- Vertical reflection- if the sign is negative the parabola will open down if it is positive the parabola will open up
- vertical stretch/ compression- if the number is higher than on it is a stretch if it is less than one it is a compression
- horizontal translation- the x value in the vertex whether it is negative or positive it is still translation
- vertical translation- opposite of horizontal translation, y value of vertex
Factored Form
First & Second Differences
Factoring ( simple )
Once the bucket is expanded you must collect like terms to simplify the equation
At this point your equation should be full expanded and simplified.
Factoring ( common)
Factoring ( Complex)
So complex trinomials are written in a similar form to common trionomial put don't have any common numbers. There we are not able to factor it using common factoring methods. Below you can look at the way you can factor a complex trinomial. Also read the description ahead to farther understand this form of factoring.
Factoring ( Differ of Squares)
Factoring ( perfect square)
Graphing
Converting
Factoring- is used when values are easily factor able, for example x^2+2x+3 (follow steps above in Factoring)
Completing square- Is used when values are factor able, but hard to think of mentally. Look below for the correct way of performing this function.
Quadratic formula- is used when equation is complex or hard to factor, This equation consist of x=-b+- (square root of b^2-4ac)/ 2a. this gives us the two zeros, x intercepts or roots. Look below for the correct way of performing this function. ( DISCRIMINANT WILL BE INCLUDED)
work is still to be added.
Solving
Word Problems
Word problems can be tuff, but if you follow the steps and read the problem correctly.
Step 1-
Read the problem and write down given information
Step 2-
Try to think of an equation that can solve the problem
Step 3-
Use factoring, graphing, converting, solving to solve the problem.
examples of word problems
a) create an algebraic model to represent Jasdeep total sales revenue.
b) determine the maximum revenue and the price at which this maximum revenue will occur.
( THE ANSWER TO THE WORD PROBLEM WILL BE SHOWN BELOW, SOAK IN THE WAY OF SOLVING IT IN)
( THE ANSWER TO THE WORD PROBLEM WILL BE SHOWN BELOW, SOAK IN THE WAY OF SOLVING IT IN)
( THE ANSWER TO THE WORD PROBLEM WILL BE SHOWN BELOW, SOAK IN THE WAY OF SOLVING IT IN)
Comments on Tests
THE QUESTION BELOW IS A QUESTION FROM VERTEX FORM PARABOLAS, AND IT WAS ASKING TO EXPLAIN THE TRANSFORMATION.( THIS IS QUESTION NUMBER 9).
Additional Information
http://www.themathpage.com/alg/quadratic-equations.htm
http://onstudynotes.com/notes/mpm2d-grade-10-math-quadratics-relations-test/
http://ca.ixl.com/math/grade-10/solve-a-quadratic-equation-by-factoring
http://vlc.ucdsb.ca/content.php?pid=383897&sid=3146463
OR
GO TO THE BEST MATH GUYS YOUTUBE CHANNEL TO DO GOOD IN MATH FOR ANY TOPICS LINK IS BELOW!