Problem
Functions and Models Part 1 of 7 Graph the quadratic function $f(x)=(x+3)^{2}-2$. Give the (a) vertex, (b) axis, (c) domain, and (d) range. Then determine $(e)$ the largest open interval of the domain over which the function is increasing and ( $f$ ) the largest open interval over which the function is decreasing. (a) The vertex is $\square$. (Type an ordered pair.)
Solution
Step 1 ：The vertex is \((-3,-2)\)
Step 2 ：The axis of symmetry is \(x=-3\)
Step 3 ：The domain is \((-\infty, \infty)\)
Step 4 ：The range is \([-2, \infty)\)
Step 5 ：The largest open interval over which the function is increasing is \((-\infty, \infty)\)
Step 6 ：The largest open interval over which the function is decreasing is \(\emptyset\)
