Parent Functions

Front

What is a Quadratic Function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax² + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What is an Absolute Value Function?

Back

An absolute value function is a function that returns the non-negative value of its input, typically in the form f(x) = |x|.

Front

What is a Constant Function?

Back

A constant function is a function that always returns the same value, regardless of the input, typically in the form f(x) = c, where c is a constant.

Front

What is a Linear Function?

Back

A linear function is a polynomial function of degree 1, typically in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is an Exponential Function?

Back

An exponential function is a function in which an independent variable appears in the exponent, typically in the form f(x) = a * b^x, where a is a constant and b is the base.

Front

What is the general shape of a Quadratic Function's graph?

Back

The graph of a quadratic function is a parabola, which 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.

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What is the y-intercept of a Linear Function?

Back

The y-intercept of a linear function is the point where the graph intersects the y-axis, found by setting x = 0 in the function.

Front

What is the slope of a Linear Function?

Back

The slope of a linear function represents the rate of change of the function, calculated as the rise over run between two points on the line.

Front

What does the graph of an Absolute Value Function look like?

Back

The graph of an absolute value function forms a 'V' shape, with the vertex at the origin (0,0) for f(x) = |x|.