For each equation in parts (a) through (d) below, find the input value that gives the smallest possible output. In other words, find the
Are there any
-values that yield a negative number?
It is impossible for
to be negative in this case. What is the lowest value can be? Can equal ?
Does this parabola open upward or downward?
It opens upward. Therefore, there will be a smallest output. What input yields the smallest output?
See part (a).
See part (b). Notice the negative sign in front of the
term. How does that change the parabola?
Where on the graphs of each of the above equations would you find the points with the smallest or largest