Polynomial Functions Homework Help Resources

In this activity, students will stretch and translate the parabola given by y = x2 and determine the effects on the equation. Students will also explore finding the vertex and zeros of a parabola and relate them to the equation.

In this activity, students will graph polynomials to determine the value and number of zeros for a given polynomial. Students will also use the rational root theorem to determine the value of zeros for a polynomial and connect the number of zeros to the degree of the polynomial.

In this activity, students will explore the different transformations of several polynomial functions. First they will use spreadsheet to investigate the changes of the y values as a value is added to or multiplied by the function. Then, students will confirm their conjectures using a minimized slider on a graph page. Several questions at the end of the activity assess students’ understanding of the transformations.

In this activity, students will use polynomial regression to develop and assess the fit of equations modeling data. The equation models are then evaluated for reasonableness in their use for extrapolating beyond the given data sets.

In this activity, students apply the Fundamental Theorem of Algebra in determining the complex roots of polynomial functions. The theorem is applied both algebraically and graphically, utilizing features of TI-Nspire CAS technology to enhance student understanding.