The y-value of the vertex is positive 3, as shown by the +3 on the right hand side of the equation, and the x-value is -1, from the (x+1)^2 (remember, when the number is inside the brackets, flip the sign) The vertex would be (-1, 3)
If you are looking for a rigorous answer (calculus), we must find the mininum point of the equation: f(x) = (x+1)^2 + 3 f
f'(x) = 2(x+1) = 2x + 2
2x + 2 = 0
x = -1
f(1) = (-1 + 1)^2 + 3
f(1) = 0 + 3 = 3
(-1, 3)
Answer: The answer is 750 cm
Answer:
Height of cylinder is
.
Step-by-step explanation:
Diameter of cylinder, D = 6 feet
Relation between Radius, R and diameter, D is given by:

So, radius, R =
feet
Let height of cylinder be
feet.
Formula for volume of cylinder is given by:

Where, R is the radius of base of cylinder
and H is the height of cylinder
We are given that,

Using formula for volume, 

Hence, Height of cylinder is
.
Option A
x+8=-3
x+8-8=-3-8
x=-11
Hope I didn't mess up for your sake!