Write each of the following quadratic functions in standard form, and give the values of $a,b,$ and $c$. Identify the $y$-intercept of each function.

a) $f(x) = 3 (x-1)^2 +8$
$a$:
$b$:
$c$:
$y$-intercept: $($, $)$

b) $h(x) = -(x-7)(x+7)$
$a$:
$b$:
$c$:
$y$-intercept: $($, $)$

Hint: