use the eight step strategy to graph

Question

f(x)=-3x2-12x-5
find the vertex
find x and y intercepts
determine the number of points to graph
graph the parabola

Answer 1

f(x) = -3(x^2+4x) - 5
= -3(x^2+4x+4) - 5 +3(4)
= -3(x+2)^2 + 7

so, the vertex is at (-2,7)
clearly, (0,-5) is the y-intercept
solve for x to get the two x-intercepts

see

http://www.wolframalpha.com/input/?i=-3x^2-12x-5