Exponential Functions Transformation FLASHCARD

Front

What is the transformation of f(x)=-3(4)^(x-2)-5?

Back

reflect, stretch; right 2, down 5

Front

What is the horizontal asymptote of the exponential function?

Back

y = -3

Front

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

Back

f(x)=2^x

Front

What is the range of the exponential function?

Back

y < -3

Front

What is the domain of the exponential function?

Back

all real numbers

Front

What does it mean for a function to be reflected over the x-axis?

Back

The output values of the function are multiplied by -1.

Front

What is a vertical shift in the context of function transformations?

Back

A vertical shift moves the graph up or down without changing its shape.

Front

How does a horizontal shift affect the graph of an exponential function?

Back

It moves the graph left or right along the x-axis.

Front

What is the effect of a vertical stretch on the graph of a function?

Back

It makes the graph taller and steeper.

Front

What is the general form of an exponential function?

Back

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