To find the y-intercept of the function \( f(x) = 2x^2 - 5x - 6 \), we need to evaluate the function at \( x = 0 \).
Substituting \( x = 0 \) into the function:
\[ f(0) = 2(0)^2 - 5(0) - 6 \] \[ f(0) = 0 - 0 - 6 \] \[ f(0) = -6 \]
Therefore, the y-intercept of the function is \(-6\).
In coordinate form, the y-intercept is at the point \((0, -6)\).