Final answer:
The x value of the vertex for the quadratic function vf(x) = -3*x² -8*x +4 is calculated using the formula x = -b/(2a), which gives an answer of -4/3.
Step-by-step explanation:
Finding the Vertex of the Parabola
The vertex of the parabola vf(x) = -3*x² -8*x +4 can be found using the vertex formula x = -b/(2a) for a quadratic equation in the standard form ax² + bx + c.
For the given quadratic function, a = -3 and b = -8. Plugging these values into the formula provides the x-coordinate of the vertex:
x = -(-8)/(2*(-3))
= 8/(-6)
= -4/3
Therefore, the x-value of the vertex is -4/3.