write a formula for the following transformation of Q(t)= 5e^8t.
y= 7Q(t-3)
To write a formula for the given transformation, we need to go step by step:
Step 1: Translate the function Q(t) by 3 units to the right:
We replace t with (t - 3) in the formula Q(t). So, the translated function is Q(t - 3) = 5e^(8(t - 3)).
Step 2: Multiply the translated function by 7:
Now, we multiply the translated function by 7. So, the final formula becomes y = 7Q(t - 3) = 7(5e^(8(t - 3))).
Therefore, the formula for the given transformation is y = 35e^(8(t - 3)).