Chapter 2.1, Problem 4E

In Exercises 1–6, (a) state the values of a, b, and c in the given quadratic function $f\left(x\right)=a{x}^2+bx+c$; (b) supply the missing values in the table below; (c) calculate $f\left(a+h\right)$; and (d) give a valid technology formula for $f\left(x\right)$. (Optional: Use technology to check the values in the table.) [HINT: See Quick Examples 1–3.]

$x$	–3	–2	–1	0	1	2	3
$f\left(x\right)$

$f\left(x\right)=-x^2-50$