Answer
a) (0, 9) is not on the given graph.
b) (9, 0) is on the given graph.
c) (-9, 0) is on the given graph.
Explanation
The eqation of the function on the graph is given as
y² = x² - 81
We are then asked to check if some points are on this graph
To do that, we will substitute each ofthe given points into the equation as x and y and the ones that satisfy the equation are the ones that occur on the graph
a) (0, 9)
x = 0
y = 9
y² = x² - 81
9² = 0² - 81
81 = 0 - 81
81 ≠ -81
This point isn't on the graph.
b) (9, 0)
x = 9
y = 0
y² = x² - 81
0² = 9² - 81
0 = 81 - 81
0 = 0
This point is thus on the graph.
c) (-9, 0)
x = -9
y = 0
y² = x² - 81
0² = (-9)² - 81
0 = 81 - 81
0 = 0
This point is thus on the graph.
Hope this Helps!!!
