For each equation in parts (a) through (d) below, determine the input value that gives the smallest possible output. In other words, what is the
Are there any
-values that yield a negative number?
It is impossible for the output to be negative in this case. What is the lowest value
can be? Can ?
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?
For each function above, where on its graph is the maximum or minimum point?