Day *insert number of posts* - Quadratic Functions Review

Hey everyone, it's Christian from Pre Cal 30S. I am here to talk about what we did in class today (or yesterday I guess).

We had a review period today because we will have a test pretty soon. Some of us finished the Quadratic Functions Assignment 3 sheet and most of us worked on the review.

Someone asked a question from the review. It was from question 2G and it was asking to "describe the transformation with respect to y = x^2". This means we have to compare a given quadratic function to the basic function which is y = x^2.

Example:

This is the equation that needs to be analyzed.

This is the basic function. See the difference? Now it's all about knowing "what does what"

See the circles? They represent the a value the -h value and the k value.

The a value represents the shape of the parabola(narror or wide), and the direction of the opening. If the number is larger than 1, the parabola is narrower, and if it's less than one but larger than 0, the parabola is wide. Also the a value is negative which makes the parabola face down. The parabola is narrower and faces down.

The -h value represents the shifts on the x-axis(left and right). Notice that I wrote -h. It means that whatever the h value is, you have to get the opposite value to get the true value. In this case, the vertex of the parabola is moved 1 value to the left(negative side)

The k value represents the shifts on the y-axis(up and down). In this case, the vertex is found 3 values down.

SO the parabola is NARROWER, FACING DOWN, and the VERTEX is found at (-1, -3)

The other thing that we discussed today was another question in the review sheet. Question 2M states "find the new equation if the parabola is moved 2 units upward and 3 units to the left". All we have to do is imagine how it would affect on the quadratic function. Since it said 2 units up and 3 units left, we have to change the h and k value.

Here is an example:




Here is the original function and all we have to do is follow what the question is asking us to do. It stated 2 units upward and 3 units to the left

So here's what I did. Note that I added 3, it's because the h value is always opposite of what it is written so instead of -3, I put +3.

And here is our final answer. I underlined the h and k values so you guys can see the difference.

SO THAT'S WHAT WE DID IN CLASS TODAY. I HOPE THIS HELPED YOU GUYS OUT. I CAN'T EXPLAIN MATH UP-CLOSE SO I DON'T KNOW HOW I DID OVER THE INTERNET. I HOPE WE ALL DO WELL ON THE TEST. I HOPE YOU GUYS !!VOTE FOR ME!! AT THE END OF OCTOBER. EPIC NINJAS!!! PEACE!

~LOOK BEHIND YOU~

JK =)