Parent Graph Transformations Review

Front

What is a square root function?

Back

A square root function is a function of the form y = √x, which represents the principal square root of x. It is defined for x ≥ 0 and has a graph that starts at the origin and increases gradually.

Front

What is the equation of a quadratic function translated up 5 units?

Back

The equation is y = x² + 5.

Front

How do you represent an absolute value graph shifted right 5 units?

Back

The equation is y = |x - 5|.

Front

What is the parent function of an exponential function?

Back

The parent function of an exponential function is y = a^x, where a > 0 and a ≠ 1.

Front

What is the parent function of an absolute value function?

Back

The parent function of an absolute value function is y = |x|.

Front

What type of function is represented by y = x³?

Back

This is a cubic function.

Front

What is the general form of a quadratic function?

Back

The general form of a quadratic function is y = ax² + bx + c, where a, b, and c are constants.

Front

What transformation occurs when you add a constant to a function?

Back

Adding a constant to a function translates the graph vertically.

Front

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

Back

Multiplying a function by a negative number reflects the graph across the x-axis.

Front

What is the parent function of a logarithmic function?

Back

The parent function of a logarithmic function is y = log(x), which is defined for x > 0.