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.)

Answer

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Answer

The largest open interval over which the function is decreasing is $\emptyset$

Steps

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 $\emptyset$