### Home > INT2 > Chapter 9 > Lesson 9.1.1 > Problem 9-5

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 ‑value of the

*lowest*point on the graph? What is the input value that gives the

*largest*possible output (or the

*‑value of the*

*highest*point on the graph)?

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?