SP#1: Unit E Concept 1 - Identifying All Parts of Quadratics and Graphing Them

This is a quadratic function that we will change into a parent function then graph. After finding the parent function (shown in the 2nd picture), it will help us find our vertex, x-intercept, axis, and x-intercept(s). The problem is color coded to show you were the numbers came from in the problem.

The viewer needs to remember to use (b/2)^2 when completing the square in order to find the x-intercepts. It is a crucial part of the problem that needs to be added to both sides of the equal sign.  When doing the problem, the viewer needs to plug the point into their graphing calculator in order to find their approximated points. They need to trace their left and right bound before the calculator guesses.

SV#1: Unit F Concept 10 - Finding the Zeroes for a given 4th or 5th Degree Polynomial

This concept is about finding the zeroes and factoring for a 4th or 5th degree polynomial.  My problem is f(x)=-35x^4+93x^3-42x^2-15x-1.  Because it is a fourth degree polynomial, we know it will have four zeroes.  This video explains each step needed to find all the zeroes.

Something you should remember when doing this video is to follow all the steps.  Make sure you correctly use the Descartes Rule of Signs to help check your answers to see if you have found the right number of positive and negative zeroes.  If needed, make sure you do use the quadratic formula.  Radicals can be tricky, so make sure all your signs are correct.

WPP#4: Unit E Concept 3 - Maximizing Area

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SP#2: Unit E Concept 7 - Graphing Polynomials

The problem is a polynomial in standard form. With the polynomial you can find it's end behavior, x-intercepts, multiplicities, and y-intercept. You can determine the shape of the graph after finding these and their zeroes.

The viewer must know how to factor the polynomial or their zeroes will not be correct. Also, know which way the arrows go when they approach positive and negative infinity. Make sure to approach each point correctly based off of its multiplicity (1M= through, 2M=bounce, 3M=curve).

WPP#2: Unit A Concept 7 - Profit, Revenue, Cost

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WPP#1: Unit A Concept 6 - Writing and Solving Linear Models

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