This week, we focused on analyzing quadratic functions and changing them to parabola’s.
Identifying the y intercept of the graph of a quadratic function.
y= 3-14x+5x²
y= 3-14(0)+5(0)²
y=3-0+0
y=3
Week 8
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Category Archives: Math 11
Week 6- Discriminants/Quadratic Equations
The discriminant is a number that shows if the value of x is rational/irrational/how many roots it has.
The formula we use to find the discriminant of a quadratic equation is b²-4ac
ex: 2x²-10x+3=0
The first step is to identify the values of a,b and c:
a=2
b=-10
c=3
We will then plug these numbers into the formula:
-10²-4(2)(3)
100-24
=76
The discriminant for 2x²-10x+3=0 is 76. This means that this quadratic equation has 2 irrational roots. This is because the equation is positive yet not a perfect square.
Week 5- Factoring polynomials
This week, we spent reviewing factoring polynomials.
ex: x²+12x+20
Notice that this equation is rational. This means that we can easily factor this equation. To factor this equation, we want to look at which 2 numbers multiply into 20 AND add into 12. If we look at the numbers 10 and 2, we see that if you multiply them, they equal 20 and when you add them, they equal 12. This means that these 2 numbers will be used to factor. (x+10) (x+2) is the answer once factored. Once expanded, the product will be x²+12x+20. This means is a good way to make sure the factoring was done properly.
Week 4- Multiplying and Dividing Radicals
Ex: 
As shown above, you multiply like normal when multiplying radicals. The radicand is multiplied with the other radicand and the coefficient is multiplied with the other coefficient.
Week 3-Radicals
This week, we started working with radicals. This week, I wanted to show how one would simplify radicals. I feel like this will help myself when studying for the final.
Ex.
when simplifying radicals, you want to look at the number you are using, in this case, 27, and finding what perfect square goes into it. For 27, it is 9 because 9×3=27.
We can square the 9 and but it outside the root and keep the other 3 on the inside because it cannot be squared. The simplified version of 
Week 2- Geometric Series
This week, we started by learning how to find a common ratio for geometric series’. Geometric series are when one number is multiplied by the same number each time.
Ex. 3, 9, 27
To find the common ratio (r.) We have to divide the first term by the second term. 
`This means that the common ratio is now 3. When we multiply each term by 3, the geometric series continues correctly.
Week 1- Arithmetic Sequences
This week, we worked with arithmetic sequences.
2,4,6,8,10…
Each of the numbers above are considered terms. The number 2 is considered
Part 1:
When finding a term, we use the formula: 
For finding term 50, we will use this formula.
Part 2:
When finding the sum of all terms, we use the formula: 
I will be using the same sequence from above to find the sum.
