Parent functions and transformations 1st sem final review

Front

What is a parent function?

Back

A parent function is the simplest form of a function type, which serves as a foundation for more complex functions. Examples include linear, quadratic, cubic, and exponential functions.

Front

Identify the parent function of the equation y = x^2.

Back

The parent function is the quadratic function.

Front

What transformation occurs when the function y = x^2 is translated up 5 units?

Back

The new function is y = x^2 + 5.

Front

What is the parent function for y = ∛(x)?

Back

The parent function is the cube root function.

Front

Which parent function is represented by the equation y = a⋅b^x?

Back

The parent function is the exponential function.

Front

What does it mean to translate a function to the right by 2 units?

Back

It means to shift the graph of the function 2 units to the right on the x-axis.

Front

What is the parent function for y = √x?

Back

The parent function is the square root function.

Front

If a quadratic function is translated left 2 units, what is the new equation?

Back

The new equation is y = (x + 2)^2.

Front

What is the effect of a negative sign in front of a quadratic function, such as y = -x^2?

Back

It reflects the graph of the function across the x-axis.

Front

How do you identify a cubic function?

Back

A cubic function can be identified by its highest degree of 3, typically in the form y = x^3.