Joel was studying the function f(x) = 2x^2 - 6x +4. He came to a conclusion, that its graph would have an axis of symmetry of y = -0.5, a vertex of (1.5, -0.5), zeros of x = 1 and x =3, and a y- intercept of (0,4). It's obvious he made some errors. What were his errors? Select ALL that apply.

a) The graph does not have a vertex of (1.5, -0.5).
b) The graph does not have a zero of x = 1.
c) The graph does not have an axis of symmetry of y = -0.5.
d) The graph does not have a y-intercept of (0,4).
e) The graph does not have a zero of x = 3.
e) The graph does not have a zero of x = 3.

The correct errors are:

a) The graph does not have a vertex of (1.5, -0.5).
c) The graph does not have an axis of symmetry of y = -0.5.
d) The graph does not have a y-intercept of (0,4).
e) The graph does not have a zero of x = 3.