Homework graph quadratic functions in standard form

Question

Graph the fuction by hand. Find the vertex round approximate coordinates to the second decimal place.

y=-3x^2+12x-7

Answer 1

-3x^2 +12x -7

take the derivative, set =0

-6x +12 = 0

6x =12

x =2

plug into the quadratic

3(2)^2 +12(2) -7 = 12+24-7 = 29

vertex is (2, 29)= the minimum point of the parabola, graphically.

Answer 2

vertex at x = -12 / (2)(-3)