# What is the maximum value that the graph of #-3x^2 - 12x + 15#?

##### 1 Answer

Jan 29, 2017

See explanation.

#### Explanation:

This is a quadratic function with a negative coefficient of

Its coordinates can be calculated as:

#p=-b/(2a)#

and

#q=-Delta/(4a)#

but you can also calculate

Answer:

**The maximum value is #27# at #x=-2# **

This can be checked by looking at the graph:

graph{-3x^2-12x+15 [-10, 10, -40, 40]}