Question

I WILL FAN MEDAL NEED HELP ASAP !!!!!!!!!!!!!!!!!
Given the function f(x) = 2(x − 1)2 + 1, indicate the shifts that will affect the location of the vertex, and explain what effect they will have. Use complete sentences.

f(x+3)
f(x) + 3
f(3x)
3•f(x)

Answer 1

@phi

Answer 2

@jdoe0001

Answer 3

@tkhunny

Answer 4

@johnweldon1993

Answer 5

@skullpatrol

Answer 6

You'll have to identify the vertex. Do you see it?

Answer 7

@sammixboo

Answer 8

no ? @tkhunny

Answer 9

Are you allowed to use a graphing calculator or something like desmos.com (Online grapher) ?

Answer 10

idk ? @mathteacher1729 why

Answer 11

\(f(x) = 2(x − 1)^{2} + 1\)

This is something you should know about parabolas.

Vertex is at (1,1). The information is in the Vertex Form shown above.

Answer 12

i see a bunch of question marks in the problem you just posted

Answer 13

It's so much easier to explain translation of graphs if you can click and drag the vertex and see the equation change as you do so.

Answer 14

ok i see it now so how do i start my answer off

Answer 15

i just neep the answer oe help something and fast ! @mathteacher1729

Answer 16

@skullpatrol ?

Answer 17

@iGreen

Answer 18

@mathteacher1729 ??

Answer 19

u there ?

Answer 20

http://www.purplemath.com/modules/fcntrans2.htm
That will explain which translations will shift an equation up or down or to the left or right.
I suggest going to desmos.com and typing in f(x) = x^2 then typing in f(x+1) or f(x)-2 etc to see how the function is shifted.

Answer 21

this isnt helping :( @phi ???

Answer 22

do u know the answer ??? @phi

Answer 23

???????

Answer 24

It is a lot to explain in a few minutes.

Answer 25

do you know the answer ? @phi

Answer 26

can you try helping me with this other question first then ?

Answer 27

if you have time, this gives some of the answer
https://www.khanacademy.org/math/algebra2/functions_and_graphs/shifting-reflecting-functions/v/shifting-and-reflecting-functions

Answer 28

can you help with anopther

Answer 29

can you help me with another question

Answer 30

did you post it ?

Answer 31

@phi hold on dont get off please

Answer 32

@phi

Answer 33

@phi

Answer 34

what are all the methods to finding zeros and factors of higher degree polynominal functions ???

Answer 35

@phi ???? do u know the answer

Answer 36

what have they taught you ?

there are formulas for degree 3 and 4.
after that, you need to use numerical methods
"root finding" algorithms, which can be very sophisticated.

Answer 37

thats the answer >??

Answer 38

is root finding one of the answers ?

Answer 39

yes. It depends what they mean by "higher degree"
if they mean degree 2, we use the quadratic formula
and there are very messy formulas for degree 3 and 4.
for degree 5 and higher, we use numerical methods.

Answer 40

numerical method is a answer ??

Answer 41

maybe they mean this
http://www.wikihow.com/Solve-Higher-Degree-Polynomials

use Descarte's rule of signs and rational zero test.

Answer 42

I assume the answer has to be stuff you have studied, and I doubt you are studying how to do numerical analysis (but that is the way we solve these problems)

Answer 43

@phi i can ask what degree they mean if u want ???

Answer 44

no, I assume they want you to say
factor out common terms if possible
use Descartes Law of Signs
use Rational Zero Test to find possible roots to test.

Answer 45

maybe mention using synthetic division to test possible roots for zero remainder.

Answer 46

what key features can be identified from graphs of polynomials of higher degrees ?

Answer 47

@misty1212

Answer 48

@phi do u know tht one

Answer 49

"end behavior" what it does when x is infinite large in the positive and in the negative direction

local max or min (peaks or valleys)

places where it crosses the x-axis are the roots of the polynomial

Answer 50

thats the answer ? @phi

Answer 51

@misty1212

Answer 52

please help !!!!