Standard form of a parabolic equation: 

The x-coordinate of the vertex occurs at: . This is also the axis of symmetry.

The y-coordinate of the vertex occurs at: , where x is the value of the x-coordinate of the vertex

The x intercepts, or roots occur at the solutions to: 

The y-intercept occurs at . Looking at the equation, it should be: 



**FYI

If you intend to create the vertex form of the equation, then you'd need to divide through by 4.

Otherwise, that's too much work. 

Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
 y=4x^2-16x+15

y = (2x-5)*(2x-3)

let x=0 y=15

let x=1 y=3

let x=2 y=-1

min{y = 4 x^2-16 x+15} = -1 at x = 2

parabola

focus | (2, -15/16)~~(2, -0.9375)

vertex | (2, -1)

semi-axis length | 1/16 = 0.0625

focal parameter | 1/8 = 0.125

eccentricity | 1

directrix | y = -17/16









 

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