Graph the quadratic y = 4x^2 + 3x - 8. What is the vertex of this quadratic?
A. ( -1.838, 0)
B. ( -0.375, -8.563)
C. ( 1.088, 0)
D. ( 0, 8)
To find the vertex of the quadratic, we can use the formula x = -b/2a.
For the quadratic y = 4x^2 + 3x - 8, a = 4 and b = 3.
Plugging these values into the formula, we have x = -3/(2*4) = -3/8.
To find the y-coordinate of the vertex, we can plug this x-value back into the equation.
y = 4*(-3/8)^2 + 3*(-3/8) - 8
= 4*(9/64) - 9/8 - 64/8
= 36/64 - 72/64 - 64/8
= -100/64
= -25/16.
Therefore, the vertex of the quadratic is ( -3/8, -25/16), which is not one of the given options.
Thus, none of the answer choices are correct.