3. Given f(x)= 1/3x-8, answer the following questions.
a. What would f(x) change to if the function is reflected across the x-axis?
b. What would the new equation (in a) change to if it is translated up 17 units?
+114221 y =(1/3)x - 8
a. Note that the points (0,-8) and ( 3, -7) are on the graph
So...these points reflected across the x axis become ( 0,8) and (3,7)
And the slope of the line containing these points is ( 7-8) / (3 - 0) = -1/3
So.....the equation of the new line is
y = (-1/3) x + 8
Translated up 17 units gives us y = (-1/3)x + 8 + 17 → y =(-1/3)x + 25
