Algebra 2_Unit 1 Topic 3 FA3

Front

What is the equation of the logarithmic function with base 5?

Back

f(x) = log_5(x)

Front

What value of x makes the function f(x) = log_5(x) equal to 50?

Back

x = 6

Front

What is the transformation rule for f(x) = 3^x when it is transformed to f(x) = 3^x + 3?

Back

The graph is shifted vertically up by 3 units.

Front

Which function represents exponential growth?

Back

g(x) = 3^x

Front

What is the effect of a dilation factor of 2 with respect to the x-axis on the function f(x) = log_2(x)?

Back

The graph is stretched away from the x-axis.

Front

What does the term 'dilation factor' refer to in transformations?

Back

It refers to the scaling of a function's graph either vertically or horizontally.

Front

How does moving a function horizontally to the left affect its equation?

Back

It involves adding a positive value to the x variable in the function's equation.

Front

What is the general form of a logarithmic function?

Back

f(x) = log_b(x) where b is the base.

Front

What is the base of the exponential function f(x) = 5^x?

Back

The base is 5.

Front

What is the transformation that produces f(x) from f(x) = log_2(x) with a dilation factor of 1/2?

Back

The graph is compressed vertically.