y=10(0.5)^(t/19.74)

My question: is this a horizontal stretch by a factor of 19.74?

y=10(0.5)^(8t)

My question: is this a horizontal compression by a factor of 1/8?

y=10(0.5)^x + 1

My question: is this a vertical translation of up 1 unit?

y=10(0.5)^(x-1)

My question: is this a horizontal translation one unit to the right?

Thank you