Example 5
Solution:
When we plot these points and join them with a smooth curve, we
obtain the following graph.
Note:
The graph is a parabola
which opens upwards. Clearly, the graph
is symmetrical about the y-axis. Therefore, the equation of
the axis of symmetry is x = 0.
The minimum value of y is 3 and it occurs when x = 0.
The vertex of the parabola is the point (0, 3).
In general:
In the example above, a = 1 and c = 3.
Graphs of y = ax˛ + c, a < 0
Example 6
Solution:
|
When we plot these points and join them
with a smooth curve, we obtain the graph shown above.
Note:
The graph is a parabola
which opens downwards. Clearly, the graph
is symmetrical about the y-axis. Therefore, the equation of
the axis of symmetry is x = 0.
The maximum value of y is 1 and it occurs when x = 0.
The vertex of the parabola is the point (0, 1).
In general:
In the example above, a = –1 and c = 1. |
