In this week we learned how to graph trinomials quicker
for example in this equation
y = 2X^2 + 6X + 8
first of in this equation you can see the Y-axis (8)
Once you find the Y axis you can then convert it to…
y = 2(X + 3)^2 -1
This one shows the vertex (-3,-1) and tells you where the formula will shape and point (2) it shows by looking at the “a” (2).
In this week we learned how to graph trinomials.
if the graph is Y=X^2
notice how this graph has its axis at (0,0) and how it is going up 1,3,5
if the graph is Y=X^2 +2
The + 2 makes the parabola just go up to spaces so the axis is now (0,2) and still has the same pattern 1,3,5
if the graph is y= (x-2)^2
the -2 means to go to the right 2 so its the opposite of the symbol to which side you go so if it was +2 you would have gone 2 to the left
if the graph is y=2x^2
the 2 in front of the x makes it stretched out upwards because before there is an imaginary 1 in front of the x and now its 2 so it goes from 1,3,5 to 2,6,10 which makes the graph look skinner
In this week we learned how to factor Trinomials
For example 16X^2 + 36X + 8
First, multiply 16 * 8 and find the factors of numbers that multiply towards it until you find the factors that add together to create 36.
So 16 * 8 = 128
128 = 4 * 32
4 + 32 = 36
so once you have done this you will end up with 4X and 32X in your empty squares.
and finally, you will end with (4 + 32X) and (4X + 8).