Question

PLEASE HELP URGENT: For the function f(x) = 3(x − 1)2 + 2, identify the vertex, domain, and range.

Answer 1

@mathway @myininaya @CloverRacer @l

Answer 2

@shelby1290 @Bee_see @wolf1728

Answer 3

@vera_ewing

Answer 4

Would that be:
f(x) = 3*(x − 1)*(x − 1) + 2 ?

Answer 5

yes

Answer 6

well it i this; f(x) = 3(x − 1)^2 + 2 sorry

Answer 7

The vertex form of a parabola is given as
\( y = a (x-h)^2 + k \)
where the point \( (h,k) \) is the vertex

so comparing the two:
\(y=3(x-1)^2 +2\) and
\(y=a(x-h)^2+k\)

can you tell me what you think the vertex is? :)

Answer 8

the first one?

Answer 9

Hmm, it seems sleepyhead is trying another approach,
I multiplied it out:
f(x) = 3*(x − 1)*(x − 1) + 2 equals
3 * x^2 -2x +1 +2 equals
3 x^2 -2x +3

Answer 10

I mean as a point :P
or tell me
h =
k =

that's ok too

Answer 11

yes, as it asks for the vertex - I assumed it would be easier to point it out since it is already in "vertex form" @wolf1728 :)

Answer 12

these are my choices:
The vertex is (1, 2), the domain is all real numbers, and the range is y ≥ 2.
The vertex is (1, 2), the domain is all real numbers, and the range is y ≤ 2.
The vertex is (–1, 2), the domain is all real numbers, and the range is y ≥ 2.
The vertex is (–1, 2), the domain is all real numbers, and the range is y ≤ 2.

Answer 13

then yes, your guess is correct! @iwanttogotostanford
Good Job! :)

Answer 14

so it would be A?:_)

Answer 15

indeed ^_^

Answer 16

WAIT I HAVE ANOTHER QUSTION DONT LEAVE

Answer 17

thank you WAIT CAN I ASK ANOTHER PLEASE

Answer 18

Given the functions f(x) = 3x2, g(x) = x2 − 4x + 5, and h(x) = –2x2 + 4x + 1, rank them from least to greatest based on their axis of symmetry.

Answer 19

these are my choices:-) thanks for the help
f(x), g(x), h(x)
f(x), h(x), g(x)
g(x), h(x), f(x)
g(x), f(x), h(x)

Answer 20

the axis of symmetry is given by
\( \large x = \frac{-b}{2a}\)
when the equations are in a form \(y=ax^2+bx+c\)

Answer 21

so it would be c? @sleepyhead314

Answer 22

yes :)
that's what I got too!
you're doing great ^_^

Answer 23

thank you! one more?? sorry.... @wolf1728 @sleepyhead314

Answer 24

Given the function f(x) = x2 and k = –1, which of the following represents a function opening downward?
Answer choices: f(x) + k
kf(x)
f(x + k)
f(kx)

Answer 25

perhaps consider making a new question so that we don't both wolf too much with the notifications :)

Answer 26

okay i will!

Answer 27

I made a mistake on previous problem
f(x) = 3*(x − 1)*(x − 1) + 2 equals

3 * (x^2 -2x +1) +2 equals
3 x^2 -6x +5