Find the x- and y-intercepts of the parabola y=−3x^2−5x+6

To find the x intercepts you need to set y = 0 and use the quadratic formula to solve for x.
y = -3x^2 -5x +6

0 = -3x^2 -5x +6

To find the y intercept, you just need to set x = 0 and solve for y.

y = -3x^2 -5x +6

y = -3(0)^2 -5(0) + 6

y = 6