Question

How do you determine whether the graph of `y = 2x^2 + 7x − 9` opens up or down and whether it has a maximum or minimum point?

Answer 1

`"see explanation"`

Explanation:

`"consider the standard form of the parabola"`

`"that is " y=ax^2+bx+c`

`• " if "a>0" then minimum point/ opens up"`

`• " if " a<0" then maximum point/opens down"`

`y=2x^2+7x-9" is in standard form"`

`"with "a=2>0`

`rArr"graph has a minimum point/opens up"`
graph{2x^2+7x+9 [-10, 10, -5, 5]}