Determine the simplest form of an equation for the graph Cho

Determine the simplest form of an equation for the graph. Choose b 0, and include no phase shifts. (Midpoints and quarter-points are identified by dots). 8 16 16 The simplest form of an equation for the graph is y- (Use integers or fractions for any numbers in the expression.)

Solution

This graph is look like a tangent graph so we can it will have form

y = tan(ax) + c (there is no phase shift)

at x = 0

y=-2

tan(0) + c = -2

c=-2

period of tangent graph = Pi/a

here period = (pi/8 - (-pi/8)) = pi/4

pi/4 = pi/a

so a = 4

y = tan(4x) - 2