One thing I learned about riversides resources is that i can play your computer on the tv.
One thing I learned about the Terry Fox Library is that we can lend some books and CDs
One thing that stood out for me today is that I learned more about library
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math11 week8
tell
the thing that I learned this week are: analyzing quadratic functions of the form y=a(x-p)^2+p and equivalent forms of the equation of a quadratic function.
The effect of changing q in y = x^2+q
The graph of y=x^2+q is the image of the graph of =x^2 after a vertical translation of q units. when q is positive sigh the graph moves up, when the q is negative sigh the graph moves down.
The effect of changing p in y=(x-p)^2′
The graph of y=(x-p)2 is the image of the graph of y=x2 after a horizontal translation of p units. when p is negative sigh the graph moves right when p is positive sigh the graph moves left.
The effect of changing a in y=ax^2
the a greater then 1, the graph is stretched vertically. the a between 0 n 1 the graph is compressed vertically. a less then -1 the graph is stretched vertically and reflected in the x-axis. a between -1 and 0 the graph is compressed vertically and reflected in the x-axis.
Axis of symmetry: x=p
Vertex(p,q)
congruent to y = ax^2
MATH11 WEEK7
Tell
The thing that I learned this week are Interpreting the Discriminant, properties of a Quadratic function.
The quadratic equation ax^2+bx^2+c=0 has
two real roots when b^2-4ac >0
exactly one real root when b^2 -4ac=0
no real roots when b^2 -4ac<0
MATH11 WEEK6
Tell
The thing that I learned this week are Solving Quadratic Equations by Factoring, Using Square Roots to Solve Quadratic Equations and Developing and Applying the Quadratic Formula.、
x^2-2x-8=0 contains a quadratic or second degree term, a term with a variable that is squared and no higher degree term, such an equation is called a quadratic equation.
That is, if ab=0, then a = 0 or b = 0 or a = b = 0.
This is called the zero product property.
When the Discriminant (b2−4ac) is:
- positive, there are 2 real solutions
- zero, there is one real solution
- negative, there are 2 complex solutions
How to solve it:
We can Factor the Quadratic
Or we can Complete the Square
Or we can use the special Quadratic Formula
MATH11 WEEK5
Tell
The thing that I learned this week are solving radical equations and factoring polynomial expressions.
The left side is equal to the right side, so the solution is: x=20
Taking a square root is the inverse of squaring.
These inverse operations are used to solve radical equations.
Step:
1.Isolate the radical
2.Square both sides
3.Solve for X
4.Check for Extraneous roots by substituting.
(√5x-9)-2=7
5x-9>0
x>1.8
(√5x-9)-2=9
5x-9=81
5x=90
x=18
MATH11 WEEK4
Tell
The thing that I learned this week are Simplifying Radical Expressions, Adding and Subtracting Radical Expressions, Multiplying and Dividing Radical Expression.
radicand is consists of index, radicand and coffcient .
And Roots include the Square Roots, Cube Roots and other Roots.
If √ssasdasdasda16=4 ,So it’s the perfect Square, because 4 is an integer.
If ³√8=2, So it’s the perfect cube.
And √x2=|x| , to simplify radicals with index 2.
All square numbers are greater than or equal to 0,so the expression √x has a real number value only when x is greater than or euqal to 0. √x is defined for X∈R, x>=0
WEEK 3 MATH 11
Tell
The thing that I learn this week are Infinite Geometric Series, Absolute Value of a Real Number
Absolute Value is the principal square roof of the square of the number.
Every real number can be represented as a point on a number line.
The sigh of the number indicates its position relative to 0 .
The magnitude of the number indicates its distance from 0 .
On the number line below, each of the numbers -2 and 2 is located 2 units from 0. So, each number has an absolute value of 2 . This is written as:|-2|=2 and |2|=2
|6|=√（6）^2 |-6|=√(-6)^2
the distance from 0 is 6. 6^2=36 √36=6 so |6|=√(6)^2 |-6|=√(-6)^2
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