Answer: Third option.
Step-by-step explanation:
Some transformations for a function f(x) are shown below:
If
, the function is translated "k" units up
If
, the function is translated "k" units down.
If
, the function is translated "k" units left.
If
, the function is translated "k" units right.
In this case you have the following function:

And you know that the function g(x) is obtained by translating the function f(x) 5 units down and 3 units left; therefore, you can conclude that g(x) is:

Finally, simplifying, you get that this is:

Alright, so we plug (-2) in for x. (-2)^2 =4, and we can plug that in as 4(4)+(-2)+5. Next, 4*4=16, so we get 15+(-2)+5. After that, we get 15-2+5=18
To get -4 from 1, we must either subtract 5 from 1 or mult. 1 by -4. Unfortunately subtracting 5 from -4 does not result in 9, and mult -4 by -4 does not result in -16. So neither "works" in predicting the next term.
Can you think of any other experiments to do that would help you discover the pattern 1, -4, 9, -16?
Okay, so as you may know the inside angles of a triangle always add up to 180! so you must first find x, so that means add up all equations to find x. your answer is 41