Question

Use the tables to answer the question.

The function g(x)
is created by horizontally stretching the parent function, f(x)=−12x2+21x−3
, with a k factor of 12
. Complete the table to show how the function has changed. (1 point)
Table 1

The table displays pairs of input-output for the function f(x).
x
f(x)
0
−3
1
6
2
−9

Table 2

x: 0 1 2
g(x):

Answer 1

A horizontal stretch by factor 12 means g(x) = f(x/12). Using f(x) = −12x² + 21x − 3:

g(0) = f(0) = −3
g(1) = f(1/12) = −12(1/12)² + 21(1/12) − 3 = −4/3
g(2) = f(2/12) = f(1/6) = −12(1/6)² + 21(1/6) − 3 = 1/6

So Table 2:
x: 0 1 2
g(x): −3 −4/3 1/6