Question

A science experiment begins with a metal at −100° Celsius. The following function describes the temperature change per minute: f(x) = 89x − 100°. How will the graph of this function change if the metal is at 25° at the start of the experiment?

Answer 1

The function describes the the temperature change per minute:
f ( x ) = 89 x - 100°.
This is the graph of a linear function in the slope-intercept form:
y = m x + b
Starting point is - 100°, so b = - 100°
If the metal is at the temperature of 25° at the start of experiment, then it would be: b = 35°
The new equation: g ( x ) = 89 x + 25°
g ( x )  ||   f ( x )   ( parallel functions ),  25° - ( -100° ) = 125°
Answer: The graph of the function will translate vertically 125° up.