Question

What is the standard form of `y= (x - 8) (4x+1)`?

Answer 1

The quadratic form is y = `4x^2-31x-8`.
If it is for making a graph, the standard form is
`(x-31/8)^2 = 4(1/16)(y+993/16)`.

Explanation:

The equation represents the parabola with .
Vertex: `(31/8, -993/16)`,
Axis: Parallel to +ve y-axis,
Focus at `(31/8, -993/16 +1/16)` and
Directrix along x = `(31/8, -993/16 -1/16)`.