Question

Graph the quadratic y=4x2+3x−8
. What is the vertex of this quadratic?(1 point)
Responses

(−1.838,0)

left parenthesis negative 1.838 comma 0 right parenthesis

(−0.375,−8.563)

left parenthesis negative 0.375 comma negative 8.563 right parenthesis

(1.088,0)

left parenthesis 1.088 comma 0 right parenthesis

(0,−8)

Answer 1

Use x = −b/(2a). Here a = 4, b = 3 so x = −3/(2·4) = −3/8 = −0.375.
y = 4(−3/8)^2 + 3(−3/8) − 8 = −137/16 = −8.5625 ≈ −8.563.

So the vertex is (−0.375, −8.563).