Question

What is the transformation that occurs to the equation y=2^x if it changes to y=2^x-3

Answer 1

     The parent function is: y = 2^x and it it transformed to: y = 2^x - 3. Both are exponential functions. First we can find the value of y, when x = 0.      For the 1st function:      y = 2^0 = 1      For the 2nd function:      y = 2^0 - 3 = 1 - 3 = - 2      We can conclude that the 2nd value of y is 3 units lower than the first.      Answer:      This transformation is translation 3 units down.