## College Algebra 7th Edition

(a) $h$, $k$ (b) $\text{upward}; \text{minimum}$ (c) $\text{downward}; \text{maximum}$
RECALL: (1) Th graph of a quadratic function is a parabola. (2) The standard form of a quadratic function is $f(x) = a(x-h)^2+k$ where $(h, k)$ is the vertex. The graph opens upward when $a \gt 0$ and opens downward when $a \lt 0$. (3) The quadratic function $f(x) = (x-h)^2+k$ has $k$ as its (i) minimum when $a\gt0$; and (ii) maximum when $a \lt 0$ Thus, the missing expression in the given statements are: (a) $h$, $k$ (b) $\text{upward}; \text{minimum}$ (c) $\text{downward}; \text{maximum}$