Answer:
(-19/8, -9/16)
Step-by-step explanation:
Recall that the vertex of a parabola is situated on the axis of symmetry, which here is
-b -19
x = ------- = --------- = -2 3/8
2a 8
To find the y-coordinate of the vertex, evaluate f(x)=4x^2+19x+12 at -19/8.
Using a calculator, we find that f(-19/8) = -10.5625.
Then the vertex is at (-19/8, -10.5625), or (-19/8, -9/16)
