determine the transformation from the "parent function" then graph it.

y=5-2^(x+3)

Question

determine the transformation from the "parent function" then graph it.

y=5-2^(x+3)

precal · Answer

5 is up five units
- is reflection across x axis
Is the parent funct 2^X?

anonymous · Answer

yea

anonymous · Answer

move 
$$y=2^x$$ to the left 3 units.  reflect it over the x - axis, then move it up 5 units

precal · Answer

Well if you use a graping calculator and graph the parent function, you can compare what the transformations are.
ie y=2^x
y=-2^x
It will be obvious that the negative sign will reflect about the xaxis
y=2^x has a doubling effect
ie things will double
while y=3^x will triple.
I am not sure what that 3 is doing (My best guess is that it is moving the graph to the left three units.

anonymous · Answer

thanks for the help everyone, and im trying not to rely on the calculator so much cause i might not be able to use it in some classes for tests