a) To determine if the parabola opens upwards or downwards you have to look at the graph.
In this case, the function decreases from +infinite to the vertex, and then it starts increasing towards +infinite again.
The parabola opens upwards.
b) The y-intercept is the point where the function cuts the y-axis and the x-intercepts are the points where the function cuts the x-axis.
You can read the coordinates of these points directly from the graph:
The y-intercept is (0,3)
The x-intercepts are (2,0) and (6,0)
c) The axis of symmetry is a straight line that divides the function into two equal halves.
For an upward parabola, the axis of symmetry is represented by a vertical line that intersects with the vertex of the parabola, dividing the function into halves:
Since the axis of symmetry is a vertical line, its value is constant at x=4, this value represents the equation of the vertical line.
The equation of the axis of symmetry is equal to x=4.
d) The vertex of the upwards parabola is the minimum point of the function. At this point, the function stops decreasing and starts increasing in value.
The coordinates of the vertex of the parabola are (4,-1)