### Home > INT3 > Chapter 2 > Lesson 2.2.1 > Problem 2-50

2-50.

For each equation, what input value will produce 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

to be negative in this case. In turn, what is the lowest valuecan be? Canequal? When

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.

Lowest point:

,

See part (a).

See part (b). Notice the negative sign in front of the

term. How does that change the parabola?a