Math 11 – Page 2 – Jacob's Blog

Week 8- Finding the vertex of a parabola

jacobs2015 on April 9, 2018

On a parabola you will find many parts. But the most important part you need to find and understand is called the vertex. The vertex is the point where the two separate lines of the parabola come together and meet. The vertex can also tell you if your parabola has a maximum or minimum point. You can tell if it’s maximum or minimum by either looking at your graphed parabola or seeing what your a value equates too.

To find your vertex is very simple. Either check your graph where it lines up on the X and Y values or use the vertex equation. The vertex equation is -b/2a = X which will give you your X value. You will get your a and b values from your quadratic equation. Once you have your X value, you plug that back into your quadratic equation then solve to find your Y. Now With your X and Y values you will be able to graph your parabola.

In this graph you will know it has a minimum point because the A value is a positive. The vertex lines up on (0,0)

In this graph your A value is a negative so the vertex will be a maximum point. The vertex lines up on (1.3,7.1)

Week 6 Pre Calc 11

jacobs2015 on March 12, 2018March 12, 2018

This week in pre calc 11 we learned a few ways to solve quadratic equations. A quadratic equation is $a x^{2} + b x + c = 0$ . One way to solve a quadratic equation is to plug it into the quadratic formula.

Week 5 Pre Calculus 11

jacobs2015 on March 12, 2018

This week in pre calc 11 I learned how to factor trinomials.

There’s a few steps to factoring trinomials. First you need to find factors of the two outside numbers of the trinomial. The factors have to be able to cross multiply then add up to the middle number. Once you find your factors, write the factored form. You get the factored form by writing what you did in the cross multiply step straight across. Then you have to check that your answer is right.

Week 4 Pre Calc 11- radical expressions

jacobs2015 on February 26, 2018

This week in Pre Calc 11 we learned how to multiply radicals together. This week we learned how to and the rules of adding and subtracting, and multiplying and dividing radicals. To add and subtract radicals you need to have the same radicand or the same “denominator” as I like to look at it. With multiplying and dividing you do not need to have the same radicand. You can just multiply straight across.

Week 3 in precalc 11

jacobs2015 on February 19, 2018February 19, 2018

Working with negatives and absolute values

This week in math I learned that when you are working with absolute values, a negative number gets changed to a positive because the absolute value means how far away from 0 it is.

For example if you had |-7|, and you wanted to find its absolute value, all you would have to do is change it from a negative to a positive. If you wanted to find the absolute value of |7|, it would also be 7. You can see here on the number line that -7 and 7 are both 7 spaces away from 0 so their absolute values are both 7.

Pre Calc 11- Week 2

jacobs2015 on February 12, 2018

In math this week I learned how to find the common difference of an arithmetic sequence when the terms do not come one after the other. Usually, it is easy to find a common difference when you have for ex. $t_{1}$ and $t_{2}$ for that all you do is $t_{2}-latex t_{1}$ , then you have the common difference for the sequence. But when you are given $t_{1}$ and $t_{8}$ , it’s not as easy as subtracting them. To find the difference for this sequence you need to plug $t_{1}$ into the equation, then you add however many differences there is between $t_{1}$ and $t_{8}$ . In this case, there’s 7 differences so you need to add 7d onto $t_{1}$ . It should look like $t_{1}+7d$ . Then you solve for d.