SOLUTION: I know that the fomula x= -b/2a is used to solve for the minimum/maximum value of a quadratic formula but what happens when the quadratic formula is {{{ y= -6x^2-1 }}} a= -6 b=0(?

Question 341980: I know that the fomula x= -b/2a is used to solve for the minimum/maximum value of a quadratic formula but what happens when the quadratic formula is a= -6 b=0(?) c= -1. I know that the maximum value= -1 but I dont understand how to solve for it. Please Help Me. Thanks in advance for your help and glorious time.
- Kay
Found 2 solutions by jim_thompson5910, robertb:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
You are correct. The value of b is since is the same as

So the x coordinate of the vertex is

Plug this back in to get . So the vertex is (0, -1)

So you are correct. The max value is -1.

To solve , plug in y=0 to get

Notice that the quadratic is in the form of where , , and

Let's use the quadratic formula to solve for "x":

Start with the quadratic formula

Plug in , , and

Square to get .

Multiply to get

Subtract from to get

Multiply and to get .

Simplify the square root (note: If you need help with simplifying square roots, check out this solver)

or Break up the expression.

or Reduce and simplify

So the solutions are or

If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!

RELATED QUESTIONS
Determine without graphing, whether the given Quadratic Function has a maximum value or a (answered by Alan3354,ikleyn)
Please help with this one...the directions are to find the vertex, the line of symmetry,... (answered by scott8148,Earlsdon)
For this formula find the (a)vertex; (b)axis of symmetry;(c)determine whether there is a... (answered by nabla)
For this formula find the (a)vertex; (b)axis of symmetry;(c)determine whether there is a... (answered by nabla)
I need help finding the information for the Quadratic Equation. y= -3/4(x+4)^2-6 I... (answered by richwmiller)
Hello! I need some help trying to solve parts a and b. I've already used the quadratic... (answered by stanbon)
This is not a text book question Given F(x) = 4x^2-1/x^2 -16 a) find x intercepts b) (answered by solver91311)
Find the X and Y-intercepts of the line y-3= 3/4(X+4). Write you answers as an ordered... (answered by Mathtut)
what is the minimum or maximum value of the quadratic formula... (answered by nerdybill)