Question

Use the Functions to answer the question
f(x)= -2 |x + 5| +3
What is the Vertex of the graph of f(x)

Answer 1

Graph the line and you can find the vertex :)

Answer 2

I don't think -b/2a would work for this though :P

Answer 3

??? Just got Confused???

Answer 4

\[\large\rm y= a \left| x-h \right|+k\] ( h,k) is the vertex

Answer 5

do i have to plug in the numbers

Answer 6

no the given equation is in vertex form
so what number is replaced by h and by k ?

Answer 7

-5,3?

Answer 8

that's correct since there is a negative sign in the vertex form equation so it's same as \[\rm f(x)=-2\left| x- (-5) \right|+3\]
h= horizontal shift
k= vertical shift
h=-5 5 unit to the left
k=3 3 unit up from the parent function

Answer 9

Alright thx I didnt wan to second guess my self!!

Answer 10

or the other way to remember it\[\large\rm y= a \left| x \color{ReD}{-}h \right|+k\]
if there is negative sign shift h unit to the right vertex (h,k)
if there is plus sign \[\large\rm y= a \left| x \color{ReD}{+}h \right|+k\]
shift h unit to the left side vertex (-h,k)

Answer 11

ohh ok

Answer 12

so all positive??

Answer 13

what do you mean ?

Answer 14

Nvm I got it right lol! I have 1 more lol

Answer 15

Nnesha sorry to butt in , I have a graph that might help.

it is color coded and shows waht happens thru the progression
y=|x|
y=-|x|
y=-2|x|
y=-2|x + 5|
y=-2|x + 5| + 3 I hope it helps

Answer 16

that's awesome
and no need to say sorry
desmos is a great website to graph

Answer 17

how was I suppose to knw from that graph?? I use desmos awww my brain thx though

Answer 18

that's the parent function v shape

Answer 19

sorry i know that graph was kind of busy.

Answer 20

The graph of g(x) results when the graph of f(x) = -|x| is shifted 4 units to the right.
Which is the equation of g(x)

Answer 21

if a is negative you will get max point