Answer:
(1) B
(2) D
Step-by-step explanation:
(1)
Let the quadratic function be:
For the point, (0,-1),
Then the equation is:
For the point (-1, -8) ,
For the point (1, 2) ,
Add the two equations and solve for <em>a</em> as follows:
Substitute <em>a</em> = -2 in (i) and solve for <em>b</em> as follows:
Thus, the quadratic function is:
The correct option is (b).
(2)
The ordered pairs are:
(5, 7), (7, 11), (9, 14), (11, 18)
Represent them in an XY table as follows:
X : 5 | 7 | 9 | 11
Y : 7 | 11 | 14 | 18
Compute the difference between the <em>Y</em> values as follows:
Diff = 11 - 7 = 4
Diff = 14 - 11 = 3
Diff = 18 - 14 = 4
Now compute the difference between the Diff values:
d = 3 - 4 = -1
d = 4 - 3 = 1
Since the differences between the differences of the y-values is not consistent, the ordered pairs do not represent a quadratic equation.
The correct option is D.