Parabola Sketching and Equation Finding

Front

What is the degree of a polynomial function?

Back

The degree of a polynomial function is the highest power of the variable in the function.

Front

What is the standard form of a parabola that opens upwards or downwards?

Back

The standard form is (x-h)² = 4p(y-k), where (h,k) is the vertex and p is the distance from the vertex to the focus.

Front

How do you find the vertex of a parabola given its equation in standard form?

Back

The vertex can be found at the point (h, k) in the equation (x-h)² = 4p(y-k).

Front

What does the parameter 'p' represent in the parabola equation?

Back

The parameter 'p' represents the distance from the vertex to the focus of the parabola.

Front

What is the focus of a parabola?

Back

The focus is a fixed point located inside the parabola where all the reflected rays converge.

Front

How do you determine the zeros of a polynomial function?

Back

The zeros of a polynomial function are found by setting the function equal to zero and solving for the variable.

Front

What is the significance of the zeros of a function?

Back

The zeros of a function indicate the x-values where the graph intersects the x-axis.

Front

What is the behavior of a function at its zeros?

Back

The behavior of a function at its zeros can be increasing, decreasing, or constant, depending on the multiplicity of the zero.

Front

What is quadratic regression?

Back

Quadratic regression is a statistical method used to fit a quadratic equation to a set of data points.

Front

What is the general form of a quadratic equation?

Back

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