Parent Functions and Transformations - Algebra

Front

What is a parent function?

Back

A parent function is the simplest form of a function in a family of functions, which retains the essential characteristics of that family.

Front

Name the parent function represented by the equation y = x.

Back

Linear function.

Front

What is the parent function of y = x^2?

Back

Quadratic function.

Front

What type of function is y = |x|?

Back

Absolute value function.

Front

Identify the parent function of y = √x.

Back

Square root function.

Front

What is the general form of a linear function?

Back

y = mx + b, where m is the slope and b is the y-intercept.

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

How does a vertical stretch affect the graph of a function?

Back

It makes the graph steeper by multiplying the output values by a factor greater than 1.

Front

What is the effect of a horizontal shift on the graph of a function?

Back

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

Front

What does the term 'domain' refer to in a function?

Back

The set of all possible input values (x-values) for the function.