Graph the quadratic y=4x2+3x−8 . What is the vertex of this quadratic?(1 point) Responses (−0.375,−8.563) left parenthesis negative 0.375 comma negative 8.563 right parenthesis (0,−8) left parenthesis 0 comma negative 8 right parenthesis (1.088,0) left parenthesis 1.088 comma 0 right parenthesis (−1.838,0)
To find the vertex of the quadratic y=4x²+3x−8, we can use the formula x = -b/2a.
In this case, a = 4 and b = 3.
x = -3/2(4) = -3/8.
To find the y-coordinate of the vertex, we substitute this x-value back into the equation:
y = 4(-3/8)² + 3(-3/8) - 8
= 9/16 - 9/8 - 8
= -115/16.
Therefore, the vertex of the quadratic is (-3/8, -115/16).