Question

explain the steps please

Answer 1

one approach
y = 3x^2 -24 x + 45
when x = 0 y = 45
when y = 0 solve the quadratic 3x^2 -24 x + 45 = 0
you have the x and y-intercepts

when dy/dx = 6x - 24 = 0 x = 4
f(4) = -3
vertex = (4, -3)