Question

The blue graph is and the red graph is . Function was stretched vertically and reflected in the -axis to produce . Function is = || , as shown above.

Determine (−100) to the nearest whole number.

Answer 1

g(-100) = -200

Explanation:

Stretching f(x) vertically by a factor of k makes it be k·f(x). Reflecting that over the x-axis makes it be ...

g(x) = -k·f(x)

When the stretch factor is 2, as here, the function becomes ...

g(x) = -2|x|

For x = -100, the value of the stretched, reflected function is ...

g(-100) = -2|-100| = -2(100)

g(-100) = -200