A2 5.4-5.8 Review

Front

What is the transformation of a function when g(x) = 6f(x)?

Back

The transformation scales the function f(x) vertically by a factor of 6.

Front

How do you reflect a function across the x-axis?

Back

Multiply the function by -1.

Front

What type of function is f(x) = 4x^3?

Back

Odd function.

Front

What type of function is f(x) = x^2 + 2?

Back

Even function.

Front

What defines an even function?

Back

An even function has reflectional symmetry over the y-axis.

Front

What defines an odd function?

Back

An odd function has rotational symmetry of 180 degrees about the origin.

Front

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

Back

It shifts the graph vertically.

Front

What is the effect of multiplying a function by a positive constant?

Back

It stretches the graph vertically.

Front

What is the effect of multiplying a function by a negative constant?

Back

It reflects the graph across the x-axis and stretches it vertically.

Front

What is the general form of a quadratic function?

Back

f(x) = ax^2 + bx + c, where a, b, and c are constants.