Which statements are true for the function y = |x| - 2? select all that apply.

the value of the function is never negative.
its graph has a v-shape.
there is only one input for which the output is 0.
there are two inputs for which the output is 5.
the vertex of its graph is at (0, -2).

The correct options are,

Its graph has a V-shape.

There are two inputs for which the output is 5.

The vertex of its graph is at (0, -2).

Step-by-step explanation:

Here, the given function is,

------(1)

Which is an absolute function,

Since, the graph of an absolute function is always V shaped,

⇒ The graph of the given function is V-shaped,

Also, the range of the function is  

So, the value of the function can be negative,

Now, for y = 0,

Thus, there are two inputs for which the output is 0,

Also, for y = 5,

Thus, there are two inputs for which the output is 5,

Since, if an absolute function is,

------(2)

Then, the vertex of the function is (h,k),

By comparing equation (1) and (2),

The vertex of the given function is, (0, -2 )

here you hope this .

step-by-step explanation:

hypotenuse = √(15² + 8²)

=  √(225 +64)

=  √(289) = 17

sin(x) = cos(y) = 8/17

they are identical so long as you are doing the sine of one angle and the cosine of the only other angle that isn't the right angle.