Question

Find the vertex of the graph of the function.

f(x) = 2x^2 + 8x + 10

A. (3, -1)
B. (2, -2)
C. (-2, 2)
D. (-1, 3)

Also, if you could give an explanation that would be great! I want to be able to understand these type of problems so I don't need help in the future. Thank you!

Answer 1

Simplifying
f(x) = 2x2 + 8x + 10

Multiply f * x
fx = 2x2 + 8x + 10

Reorder the terms:
fx = 10 + 8x + 2x2

Solving
fx = 10 + 8x + 2x2

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Divide each side by 'x'.
f = 10x-1 + 8 + 2x

Simplifying
f = 10x-1 + 8 + 2x

Reorder the terms:
f = 8 + 10x-1 + 2x

Answer 2

haha thank you!

Answer 3

you need any more help, @slb4auburn ?

Answer 4

actually yes, one more question

Answer 5

Make sure you spell every word correctly, otherwise, I cant understand It. humans are prone to doing that.

Answer 6

A projectile is thrown upward so that its distance above the ground after t seconds is given by the function h(t) = -16t2 + 640t. After how many seconds does the projectile take to reach its maximum height?

I think its the same concept as the other question, but I don't even know what to solve for

Answer 7

There is a caret or other operator missing in the equation. Example: the input 'x^2y5' is invalid because the calculator cannot determine if y should be multiplied by 5, or raised to the fifth power. To indicate that the 5 is an exponent, use the ^ symbol, otherwise use a * to indicate multiplication.

Answer 8

Hello?

Answer 9

Thats just the question given to me, I'm not sure what to do with it

Answer 10

actually, i see what you mean. it should be h(t)=-16t^2 + 640t

Answer 11

Simplifying
h(t) = -16t2 + 640t

Multiply h * t
ht = -16t2 + 640t

Reorder the terms:
ht = 640t + -16t2

Solving
ht = 640t + -16t2

Solving for variable 'h'.

Move all terms containing h to the left, all other terms to the right.

Divide each side by 't'.
h = 640 + -16t

Simplifying
h = 640 + -16t

Answer 12

all question requested to be answered are completed, is that all you need? do you have a name?

Answer 13

Hello? are you there?

Answer 14

that is all, thank you for your help!

Answer 15

you are welcome.

Answer 16

I must go help someone else in need now.