What is the phase shift of y = sin(1/2 x - pi/2)?

π

Step-by-step explanation:

The standard form of the sine function is

y = a sin(bx + c)

where a is the amplitude, period = and

phase shift = -

here b = , c = -

phase shift = -

= × 2 = π

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4