Exponential Functions Transformation [24-25]

Front

What is the parent function of f(x)=(3)^(x-2)+1?

Back

f(x)=3^x

Front

What is the transformation of the function y=4^x when it is written as y=4^(x-2)?

Back

The graph is shifted down 2 units.

Front

What does the equation y=4^x-2 represent in terms of transformations?

Back

The graph is shifted down 2 units.

Front

What equation would yield a transformation right 3 units if your initial function was y=2^x?

Back

y=2^(x-3)

Front

What is the effect of adding a constant to an exponential function?

Back

It shifts the graph vertically.

Front

What is the effect of subtracting a constant from the exponent in an exponential function?

Back

It shifts the graph horizontally to the right.

Front

How does the base of an exponential function affect its growth?

Back

A larger base results in faster growth.

Front

What is the general form of an exponential function?

Back

f(x) = a*b^(x-h) + k, where (h,k) is the translation.

Front

What does the variable 'a' represent in the exponential function f(x) = a*b^(x-h) + k?

Back

'a' represents the vertical stretch or compression.

Front

What is the transformation of the function y=2^x when it is written as y=2^(x+3)?

Back

The graph is shifted left 3 units.