Answer:
the vertex is at (-3/8, 23/16) and the axis of symmetry is x = 3/8
Step-by-step explanation:
The coefficients of the given quadratic are a = 4, b = 3 and c = 2.
The axis of symmetry is given by
-b -3
x = ------- which here is x = -------- = -3/8
2a 2(4)
We use this result, x = -3/8, as the divisor in synthetic division to find the y-coordinate of the vertex. Here's how:
-3/8 4 3 2
-3/2 -9/16
---------------------------------
4 3/2 23/16
Thus, we know the vertex is at (-3/8, 23/16) and the axis of symmetry is x = 3/8.
