### Home > A2C > Chapter 4 > Lesson 4.1.1 > Problem 4-5

For each equation in parts (a) through (d) below, find the input value that gives the *smallest* possible output. In other words, find the -value of the

*lowest*point on the graph. Then find 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. What is the lowest valuecan be? Canequal?

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

-values?