Question

PLEASE HELP WITH ALGEBRA AND SHOW WORK :) an explanation would be nice too because this topic confuses me :/

Answer 1

A.

$f(t) = t^2 + 4t-14\\ f(t)=t^2+4t+4-18\\ f(t)=(t+2)^2-18$

B.

$f(x)=(x-h)^2+k \Rightarrow \text{vertex}=(h,k)\\\\ f(t)=(t+2)^2-18 \Rightarrow \text{vertex}=(-2,-18)$

It's a minimum, becuase $a=1>0$.

C.

The axis of symmetry is $x=h$. So, in this case, it's $x=-2$.