ANSWER and EXPLANATION
(a) A parabola opens upwards if it makes a U shape on the graph and it opens downwards if it makes an n shape on the graph.
Therefore, the given graph opens upward.
(b) The vertex of a parabola is the maximum/minimum point on the parabola i.e. the highest/lowest point on the parabola.
The parabola has a lowest point, hence, the vertex of the given parabola is:
[tex](2,1)[/tex]
(c) The equation of the axis of symmetry is the equation of the x-coordinate of the vertex of the parabola.
Therefore, the equation of the axis of symmetry of the graph is:
[tex]x=2[/tex]
(d) The x-intercept of a graph is the point where the graph touches the x-axis. The given graph has no x-intercept since it does not touch the x-axis.
The y-intercept of a graph is the point where the graph touches the y-axis. Therefore, the y-intercept of the parabola is 5.
