f(x)=x^{2} -4x-5f ( x ) = x 2 − 4 x − 5
Part A: What are the x-intercepts of the graph of f(x)? Show your work factoring and using the Zero Product Property.
Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Justify your answers and show your work using the vertex formula.
Part C: Identify the point of the y-intercept for f(x).
Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A, Part B, and Part C to draw the graph. Draw the graph.
Answers
Answer:
Quadratic Equations
Quadratic EquationsSolving equations is the central theme of algebra. All skills lead eventually to the ability to solve equations and simplify the solutions. In previous chapters we have solved equations of the first degree. You now have the necessary skills to solve equations of the second degree, which are known as quadratic equations.
lead eventually to the ability to solve equations and simplify the solutions. In previous chapters we have solved equations of the first degree. You now have the necessary skills to solve equations of the second degree, which are known as quadratic equations.QUADRATICS SOLVED BY FACTORING
lead eventually to the ability to solve equations and simplify the solutions. In previous chapters we have solved equations of the first degree. You now have the necessary skills to solve equations of the second degree, which are known as quadratic equations.QUADRATICS SOLVED BY FACTORINGOBJECTIVES
lead eventually to the ability to solve equations and simplify the solutions. In previous chapters we have solved equations of the first degree. You now have the necessary skills to solve equations of the second degree, which are known as quadratic equations.QUADRATICS SOLVED BY FACTORINGOBJECTIVESUpon completing this section you should be able to:
lead eventually to the ability to solve equations and simplify the solutions. In previous chapters we have solved equations of the first degree. You now have the necessary skills to solve equations of the second degree, which are known as quadratic equations.QUADRATICS SOLVED BY FACTORINGOBJECTIVESUpon completing this section you should be able to:Identify a quadratic equation.
lead eventually to the ability to solve equations and simplify the solutions. In previous chapters we have solved equations of the first degree. You now have the necessary skills to solve equations of the second degree, which are known as quadratic equations.QUADRATICS SOLVED BY FACTORINGOBJECTIVESUpon completing this section you should be able to:Identify a quadratic equation.Place a quadratic equation in standard form.
lead eventually to the ability to solve equations and simplify the solutions. In previous chapters we have solved equations of the first degree. You now have the necessary skills to solve equations of the second degree, which are known as quadratic equations.QUADRATICS SOLVED BY FACTORINGOBJECTIVESUpon completing this section you should be able to:Identify a quadratic equation.Place a quadratic equation in standard form.Solve a quadratic equation by factoring.
lead eventually to the ability to solve equations and simplify the solutions. In previous chapters we have solved equations of the first degree. You now have the necessary skills to solve equations of the second degree, which are known as quadratic equations.QUADRATICS SOLVED BY FACTORINGOBJECTIVESUpon completing this section you should be able to:Identify a quadratic equation.Place a quadratic equation in standard form.Solve a quadratic equation by factoring.A quadratic equation is a polynomial equation that contains the second degree, but no higher degree, of the variable.
lead eventually to the ability to solve equations and simplify the solutions. In previous chapters we have solved equations of the first degree. You now have the necessary skills to solve equations of the second degree, which are known as quadratic equations.QUADRATICS SOLVED BY FACTORINGOBJECTIVESUpon completing this section you should be able to:Identify a quadratic equation.Place a quadratic equation in standard form.Solve a quadratic equation by factoring.A quadratic equation is a polynomial equation that contains the second degree, but no higher degree, of the variable.The standard form of a quadratic equation is ax 2 + bx + c = 0 when a ≠ 0 and a, b, and c are real numbers.
Answer:
Quadratic Equations
Quadratic EquationsSolving equations is the central theme of algebra. All skills lead eventually to the ability to solve equations and simplify the solutions. In previous chapters we have solved equations of the first degree. You now have the necessary skills to solve equations of the second degree, which are known as quadratic equations.
lead eventually to the ability to solve equations and simplify the solutions. In previous chapters we have solved equations of the first degree. You now have the necessary skills to solve equations of the second degree, which are known as quadratic equations.QUADRATICS SOLVED BY FACTORING
lead eventually to the ability to solve equations and simplify the solutions. In previous chapters we have solved equations of the first degree. You now have the necessary skills to solve equations of the second degree, which are known as quadratic equations.QUADRATICS SOLVED BY FACTORINGOBJECTIVES
lead eventually to the ability to solve equations and simplify the solutions. In previous chapters we have solved equations of the first degree. You now have the necessary skills to solve equations of the second degree, which are known as quadratic equations.QUADRATICS SOLVED BY FACTORINGOBJECTIVESUpon completing this section you should be able to:
lead eventually to the ability to solve equations and simplify the solutions. In previous chapters we have solved equations of the first degree. You now have the necessary skills to solve equations of the second degree, which are known as quadratic equations.QUADRATICS SOLVED BY FACTORINGOBJECTIVESUpon completing this section you should be able to:Identify a quadratic equation.
lead eventually to the ability to solve equations and simplify the solutions. In previous chapters we have solved equations of the first degree. You now have the necessary skills to solve equations of the second degree, which are known as quadratic equations.QUADRATICS SOLVED BY FACTORINGOBJECTIVESUpon completing this section you should be able to:Identify a quadratic equation.Place a quadratic equation in standard form.
lead eventually to the ability to solve equations and simplify the solutions. In previous chapters we have solved equations of the first degree. You now have the necessary skills to solve equations of the second degree, which are known as quadratic equations.QUADRATICS SOLVED BY FACTORINGOBJECTIVESUpon completing this section you should be able to:Identify a quadratic equation.Place a quadratic equation in standard form.Solve a quadratic equation by factoring.
lead eventually to the ability to solve equations and simplify the solutions. In previous chapters we have solved equations of the first degree. You now have the necessary skills to solve equations of the second degree, which are known as quadratic equations.QUADRATICS SOLVED BY FACTORINGOBJECTIVESUpon completing this section you should be able to:Identify a quadratic equation.Place a quadratic equation in standard form.Solve a quadratic equation by factoring.A quadratic equation is a polynomial equation that contains the second degree, but no higher degree, of the variable.
lead eventually to the ability to solve equations and simplify the solutions. In previous chapters we have solved equations of the first degree. You now have the necessary skills to solve equations of the second degree, which are known as quadratic equations.QUADRATICS SOLVED BY FACTORINGOBJECTIVESUpon completing this section you should be able to:Identify a quadratic equation.Place a quadratic equation in standard form.Solve a quadratic equation by factoring.A quadratic equation is a polynomial equation that contains the second degree, but no higher degree, of the variable.The standard form of a quadratic equation is ax 2 + bx + c = 0 when a ≠ 0 and a, b, and c are real numbers.