Graph the quadratic y = 4x 2 + 3x - 8. What is the vertex of this quadratic? Is it
( 1.088, 0)
(-1.838, 0)
(0, -8)
(-0.375, -8.563) pick 1 2 3 or 4
To find the vertex of the quadratic function y = 4x^2 + 3x - 8, we can use the formula x = -b/2a.
In this case, a = 4 and b = 3. By substituting these values into the formula, we get:
x = -3 / (2 * 4)
x = -3 / 8
x = -0.375
To find the y-coordinate of the vertex, we substitute the value of x into the original equation:
y = 4(-0.375)^2 + 3(-0.375) - 8
y = 4(0.140625) - 1.125 - 8
y = 0.5625 - 1.125 - 8
y = -8.5625
Therefore, the vertex of this quadratic function is approximately (-0.375, -8.5625).
Looking at the options given, the closest match is (-0.375, -8.563), so the correct answer is 4.