Question

The graph of y = -3x^2- 2x - 5 has a minimum or maximum value?

Answer 1

graph it.

Answer 2

https://www.desmos.com/calculator

Answer 3

This is also a parabola, indicated by the x^2, and downward curving, indicated by the -3, so the graph has a maximum.

Answer 4

If you have y=ax^2 and a is negative, you have a max.
If you have y=ax^2 and a is positive, you have a min.

Answer 5

For example:
Example 1: y=ax^2 and a is positive then you have something that looks like:

You have a min on that graph.

Example 2: y=ax^2 and a is negative then you have something that looks like:

You have a max on this graph.