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?
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.
