Question

The graph of a quadratic function has a domain of (-∞, ∞) and range of [4, ∞). In two or more complete sentences, explain how the given range of the function can help you to determine whether the graph opens up or down.

Answer 1

it if opens up, then the range will extednd to positive infinity.
if it opens down then the range will exted to negative infintiy.

there, 2 complete sentances
so we got range is from 4 to infinty so it opens up

Answer 2

Opens Up

Explanation:

Here we are given that the range starts with 4 and goes upto positive infinity.4 is on the positive side of y axis , and positive infinity lies much above the 4 . Hence all the y coordinates of the graph will be lying above 4 and extends upto positive infinity. Hence the graph is opening up. however if the range would have been extending towards negative infinity , the parabola would be opening down.