Exponential Functions Transformation FLASHCARD

Front

What is the parent function of an exponential function?

Back

The parent function of an exponential function is f(x) = a^x, where a > 0 and a ≠ 1.

Front

What does it mean to translate a function left or right?

Back

Translating a function left means shifting the graph horizontally to the left, while translating it right means shifting it horizontally to the right.

Front

What does it mean to translate a function up or down?

Back

Translating a function up means shifting the graph vertically upwards, while translating it down means shifting it vertically downwards.

Front

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

Back

Adding a constant to the exponent translates the graph horizontally. For example, f(x) = a^(x + c) translates left by c units.

Front

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

Back

Subtracting a constant from the exponent translates the graph horizontally. For example, f(x) = a^(x - c) translates right by c units.

Front

What is the horizontal asymptote of an exponential function?

Back

The horizontal asymptote of an exponential function is the line that the graph approaches as x approaches positive or negative infinity.

Front

How do you find the horizontal asymptote of the function y = a^(x) + k?

Back

The horizontal asymptote is y = k.

Front

What is the transformation of the function f(x) = a^(x - h) + k?

Back

The function is translated right by h units and up by k units.

Front

What is the transformation of the function f(x) = a^(x + h) + k?

Back

The function is translated left by h units and up by k units.

Front

What is the transformation of the function f(x) = a^(x) - k?

Back

The function is translated down by k units.