Alg2 Transformations of Functions (beyond Linear, AbsV, Quad)

Front

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

Back

Rational or Reciprocal function.

Front

What is the parent function of a quadratic function?

Back

Quadratic function.

Front

Identify the function represented by the graph: f(x) = -√(x+4) -2, f(x) = √(x-4) -2, f(x) = -√(x-4) -2, f(x) = √(x+4) +2.

Back

f(x) = √(x-4) -2.

Front

What is the parent function of a cubic function?

Back

Cubic function.

Front

What is the parent function of a square root function?

Back

Square root function.

Front

What is the general form of a quadratic function?

Back

f(x) = ax^2 + bx + c, where a ≠ 0.

Front

What transformation occurs when a function is reflected over the x-axis?

Back

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

Front

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

Back

The output values are multiplied by a factor greater than 1.

Front

What is the parent function of an absolute value function?

Back

Absolute value function.

Front

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

Back

The graph moves left or right depending on the value added or subtracted from x.