Answer:
The slope of the line is -5
Hello :
y = 3x²+9x
= 3(x² + 3x )
= 3 ( x² +2(3/2)x +(3/2)²) -(3/2)²)
= 3((x+3/2)² -9/4)
y = 3 (x+3/2)² -27/4
<span>the x-coordinate of the vertex is : - 3/2</span>
Answer:
7/2, 3.5 (depending on which form you want it in)
Step-by-step explanation:
Looking at the numbers on the side, lets take two points they already gave us.
It goes up 14, and over 4 from 0,0.
14/4 Simplify.
7/2
7/2 is your slope
Note:
For those asking why it isn't "10/3" or anything else, It's because we can't be sure the line crosses that coordinate at that point. So lets just take two points where we know the actual coordinates, and derive the slope from that because it's more accurate.
Answer:
2 units up
Step-by-step explanation:
You're just taking the entire graph of cos(x) and then adding 2 so it moves everything up. If you added 2 to x BEFORE taking the cosine
(like y = cos (x+2) ), then you would shift it left 2. Adding and subtracting from the x moves everything left or right. Adding or subtracting at the end just moves it up and down.
