Chapter 3 - Quadratic Functions - 3.2 The Vertex of a Parabola - Exercises and Problems for Section 3.2 - Exercises and Problems - Page 127: 5

See the graph

a) .We have $a=1, b=0$, and $c=3$. Its vertex is at $(0,3)$, and its axis of symmetry is the $y$-axis. This function has no zeros. The vertex is $(1,2)$ and the axis of symmetry is $x=1$. b) We have $a=-2, b=4$, and $c=16$. The axis of symmetry is the line $x=1$ and the vertex is at $(1,18)$. The zeros, or $x$-intercepts, are at $x=-2$ and $x=4$. The $y$-intercept is at $y=16$.