SOLUTION: 1. Re–write this quadratic equation from vertex form into standard form: y = (x – 4)^2 – 16 2. Which of the following represents the factored form of y=x^2+6x+8 3. What are

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: 1. Re–write this quadratic equation from vertex form into standard form: y = (x – 4)^2 – 16 2. Which of the following represents the factored form of y=x^2+6x+8 3. What are       Log On


   



Question 1082579: 1. Re–write this quadratic equation from vertex form into standard form: y = (x – 4)^2 – 16
2. Which of the following represents the factored form of y=x^2+6x+8
3. What are the roots for the function given by x^2-4x-12?
4. Write an equation of a quadratic function given the vertex and another point on the graph.
Vertex: (–5, –10)
Point: (0, 15)
5. Write an equation of a quadratic function given the vertex and another point on the graph.
Vertex: (–3 ,–6)
Point: (0, –15)

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
1. Re–write this quadratic equation from vertex form into standard form: y = (x – 4)^2 –  16       


2. Which of the following represents the factored form of y=x^2+6x+8    - Find (mentally !) two integer divisors of the constant term 8 that 
                                                                          sum up to 6.   2 and 4 are such numbers.
                                                                          Hence, y = (x+2)*(x+4) is your polynomial in the factored form.


3. What are the roots for the function given by x^2-4x-12?              - Find (nentally !) two integer divisors of the constant term -12 that
                                                                          sum up to 4.   6 and -2 are such numbers.
                                                                          Hence, your polynomial factors as (x-6)*(x+2) and has the roots 6 and -2. 


4. Write an equation of a quadratic function given the vertex and another point on the graph.
Vertex: (–5, –10)
Point: (0, 15)

5. Write an equation of a quadratic function given the vertex and another point on the graph.
Vertex: (–3 ,–6)
Point: (0, –15)
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