Week 10 – Precalculus 11 – Graphing parabola/ finding vertex and intercepts

And this week in Precalculus 11 we  went over vertex and finding X and Y intercepts .  I learned how to find the vertex and X and Y intercept when given a vertex form quadratic equation.

Vertex:  The vertex is either at the highest or lowest (max/min)  there’s also the point where the middle of the parabola  is.

For first example I’m going to give you a graph and we will find the All 3 of the things I listed. Will start with the graphed equation.

we can see in this parabola contacts is (-3,4).

The X intercepts are when the parabola crosses over our X axis. (-5,0) (-1,0)

Y intercept is when the parabola crosses over the Y axis. (0, -5)

Now we will graph an equation (if you are slightly confused go to my week 9 blog post, it explains what each part does)

review week 9:

graph:

As from our week 9 lesson we know that the parabola will move 4 to the left and 1 down. The stretch remains the same as there is no coefficient.


Week 3 – Precalculus 11 – Fractional exponents

This week in three calculus 11 we worked on fractional exponents. One thing I learned was how to solve fractional exponents. I will explain 2 examples and share some tips I learned in class that help me remember what to do.

Example 1:

Step 1-


first thing you want to do is to know where all the number are going to go. Something I learned was flower power. The root of the flower is in the ground so the root is going to be the denominator of the fractional exponent.

Step 2-

Now that you know where everything has to go place it in its correct places and turn it into a root.

Step 3-

Something that helps me when solving is to write down perfect cubes and squares. Look at the list you have written and find it. (If it not on your list then it will be a decimal)

Step 4-

Once you have found the perfect cube write down your final answer.

Example 2:

Step 1-

Like last example we are going to use flower power. Root on the bottom.

Step 2-

next is the same thing. Turn the fractional exponent into a root.

Step 3-

Write down your perfect squares and cubes and search for your number. (I advise to  memorize perfect squares 1-15 and perfect cubes 1-8)

Step 4-

Now because the power on our answer is not one we should solve it. When a number has a power it is saying how many times you multiply that number by itself.

Step 5-

And you have your final answer!