Question

How do I graph y = –|x – 4|?
Oh please help! I am SO confused and frustrated!

Answer 1

do you know how to plot points,
for example, can you plot (4,0)
?

Answer 2

Yes.

Answer 3

do you know how to sketch the graph of y= |x| ?

Answer 4

if so, then -4 is a shift to the left by "4"

and the negative out front flips it over the x axis into the y= negative portion

Answer 5

** shift to the right by 4 that is

Answer 6

you even have graphs to compare with eh

Answer 7

Site is flaky today. If you know what y=|x| looks like, you can use amistre's advice

but one easy way is to plot 3 points.

look at y= -|x-4|
look for the x value that make x-4 be zero. (x=4 is the answer)
notice that this makes y 0, so the vertex is at (4,0)

Answer 8

Would it be the first graph?

Answer 9

now to up 1 number from 4. use x=5
y= -|5-4|
what is 5-4?

yes it is 1
y= -|1|
when the stuff inside || is + (like here) just drop the ||
you get
y= -1
that means 5,-1 is on the graph

Answer 10

try it, what is y when x=0?

Answer 11

what part of the material are you working thru? this looks to me like recognizing the basic forms and shifts associated with the given equations