What is y=6x^2+13x-8 in intercept form

Quadratic function in intercept form is y=a (x-p) (x-q), p and q are the roots.

in this case, factor the expression first:

y = (3x+8) (2x-1)

factor out the coefficients of x: y=3 (x+8/3) * 2 (x-1/2)

so the final answer is y=6 (x+8/3) (x-1/2)