Parent Functions

Front

What is a constant function?

Back

A constant function is a function that always returns the same value, regardless of the input. It can be represented as f(x) = c, where c is a constant.

Front

What is the parent function of a linear function?

Back

The parent function of a linear function is f(x) = x, which represents a straight line with a slope of 1.

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What is the parent function of a quadratic function?

Back

The parent function of a quadratic function is f(x) = x^2.

Front

What is the parent function of an absolute value function?

Back

The parent function of an absolute value function is f(x) = |x|.

Front

What is the parent function of a square root function?

Back

The parent function of a square root function is f(x) = √x.

Front

How does the graph of a constant function look?

Back

The graph of a constant function is a horizontal line at the value of the constant.

Front

What is the general shape of the graph of a quadratic function?

Back

The graph of a quadratic function is a parabola that opens upwards if a > 0 and downwards if a < 0.

Front

What is the vertex of a quadratic function?

Back

The vertex of a quadratic function is the highest or lowest point on the graph, depending on the direction the parabola opens.

Front

What is the domain of a square root function?

Back

The domain of a square root function is x ≥ 0, as the square root of a negative number is not defined in the set of real numbers.