Question

Which of the following functions is graphed below?(:

Answer 1

the answer would be C because in an equation of y = | x - k | + b, you take the value outside of the abs. val. bars and shift it vertically that amount, but you take k and shift it to the negative of that value horizontally.

so basically your graph is |x| shifted 5 to the right and 4 down. this means that k would be -5 (since the shift is the k value times negative one), and b would be 4. therefore y = | x - (-5) | -5, which is equivalent to C

Answer 2

B.
`y=|x-5|-4`

Explanation:

To evaluate correctly the graph you just have to search for the point where the total value of the absolute value is 0, so when the absolute value of the function is 0, you know for sure that Y will be at -4.

So the value in
`y=|x-5|-4` where the absolute value is 0 would be at X=5, if you evaluate the function at x=5 it would look like this:

`y=|x-5|-4`

`y=|5-5|-4`

`y=|0|-4`

`y=-4`

So your point in the graph would be: (5,-4) as it is correct in the graph, your equation of the function in the graph would be
`y=|x-5|-4`