Question

Given the function f(x) = 4(x + 1)2 − 3, indicate the shifts that will affect the location of the vertex, and explain what effect they will have. Use complete sentences.

f(x−2)
f(x) − 2
f(2x)
2•f(x)

Answer 1

@phi

Answer 2

@ganeshie8

Answer 3

@myininaya

Answer 4

will medal need help !!!

Answer 5

please help !!

Answer 6

@jackunzel58

Answer 7

@haleyelizabeth2017

Answer 8

I'm not entirely sure. I am learning this right now so I'm not going to be much help :(

Answer 9

do you know anyone that is good in math :(

Answer 10

@phi

Answer 11

@ganeshie8

Answer 12

@zpupster is good at math, I believe :)

Answer 13

so the function is

\[f(x) =4(x + 1) ^2- 3\]

Answer 14

yes @campbell_st

Answer 15

@zpupster ??

Answer 16

ok... so do you know what the vertex is for the function...?

Answer 17

no

Answer 18

ok... the vertex form is \[f(x) = a( x - h)^2 + k\] where (h, k) is the vertex. So comparing your function, what is the vertex of the parabola

Answer 19

1 and -3

Answer 20

almost... (-1, -3) is the vertex

f(x -2) means replace x with x - 2 so the function becomes

\[f(x -2 = 4(x - 2 + 1)^2 - 3\]

when you simplify this, does the vertex change... when you compare it to the original function..?

Answer 21

no