For this week I found many things important while learning our lesson on quadratics. I found being able to solve the equation, put it into a table of values is extremely important because you need to be able to complete these steps in order to graph it. I found a few methods in solving for Y in the table of values but this way was the easiest for me.
Important Key things to remember:
- I found is very important to remember your negatives and positives because if you get the wrong number you cannot properly graph them. Watching for when you have two negatives, that creates a positive is very critical and sometimes hard to remember.
- When writing down your work, make sure you have it written out to show your work so you don’t get confused or miss a step.
Starting off I found an equation that I could use to solve and place into the table. I used the equation: Y=x2-x-6.
- First step I like to do is re-write the equation so I have it laid out in-front of me. Next you input all the numbers. For this equation I input -3 into the X slot. Therefor my equation would have no “X’s” involved and would be replaced with numbers.
2. Next, you re-write the equation with the new inputted numbers. Which for the first one would be -3^2+3-6. Which you would continue to solve/simplify in order to find Y.
3. next you solve the equation. You take-3 and times it to the power of 2. Which means -3 times -3 which would create positive 9 because a negative and a negative make a positive. Then moving to the next slot is now +3 which is positive as well, because a negative and a negative is a positive. Lastly, you keep the -6 on the end. This equation is now 9+3-6.
which is very easy to solve because 9+3=12 AND 12-6 =6. Therefor it =6.
4. Now that we have solved the equation and we know that the first plot point is 6 and we can then input it into our table.
Now you can repeat the same process until you have found Y for every X slot. Until you have filled your table up so you can then graph them.
This is another example on how you input the numbers: using the next X number which was -2.
These examples I found most crucial and important to learn because these steps are what guide you into being able to plot your points on a graph. If you were to continue to the next section to plot points you would simply take your X coordinate and your Y coordinate and match it up. So the point would sit on X’s Number and Y’s number where they intertwine.