Name the following polynomial:4x^(2)+8n+16

a 2nd degree trinomial

Step-by-step explanation:

First, this polynomial has 3 terms which are 4x^2, 8n, and 16.  This makes this polynomial a trinomial.

Second, the highest degree in this polynomial is a degree of 2 because of the term 4x^2.  This makes this polynomial a 2nd degree polynomial.

Lastly, when you put all of this together you get a 2nd degree trinomial.

step-by-step explanation:

a

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.