Question

Which of the following is graphed below?

Answer 1

The function that is graphed is...
B.) y = |x - 3| - 4 

Since the lines "|" in the function make it a V shape. 
And when you graph the one point where the the 2 lines meet it is.
(-3, -4) 

So this answer is correct. :P

Good Luck! :)

Answer 2

Answer:

y = |x+3| - 4

Step-by-step explanation:

Topic: Transforming Functions

You have to be familiar on how functions change according to certain factors, let's suppose we have a function y = f(x), if i add/substract to the function a constant a, as y = f(x) ± a it will move up in y axis (if it's +) or down in y axis (if it's -), a units.

If the function is applied to the argument like y = f(x ± a) it will move to the right the function a units (if it's - ) and to the left a units (if its +). so for this function we have.

you know that the function that does this V shaped figure is |x|

so you have that y = |x| it would be centered on (0,0) as you can see in the first image.

but you know it is moved 3 units to the left on the x axis. so we have to add + 3 to the argument in this case and you get the second image plotting y = |x+3|

and for last you know that the function is moved - 4 units in y axis. so you have to substract 4 from the function having the 3 image and the same of the problem, so the function you are looking for is y = |x+3| - 4

and there's no correct option in the options available.

but the correct option is y = | x + 3 | - 4 check it on geogebra

also i encourage you to find out other types of transforming functions.