For each equation, what input value will produce the smallest possible output? (In other words, what is the
Are there any
-values that yield a negative number?
It is impossible for
to be negative in this case. In turn, what is the lowest value can be? Can equal ?
is equal to , is equal to , which is the smallest possible output.
Does this parabola open upward or downward?
It opens upward. Therefore, there will be a smallest output.
See part (a).
See part (b). Notice the negative sign in front of the
term. How does that change the parabola?