Answer
i) Vertex: $(3 / 4,-2 / 3)$
ii) Axis of symmetry: $x= 3/4$
iii) $x= 0$, $y$-intercept: $y=2(3 / 4)^2-2 / 3=11 / 24$
iv) Since the coefficient $a$ is positive the curve is concave up.
Work Step by Step
Give $y=2(x-3 / 4)^2-2 / 3$
i) Vertex: $(3 / 4,-2 / 3)$
ii) Axis of symmetry: $x= 3/4$
iii) $x= 0$, $y$-intercept: $y=2(3 / 4)^2-2 / 3=11 / 24$
iv) Since the coefficient $a$ is positive the curve is concave up.