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Making Equations Using the Three Forms of the Quadratic

Making Equations Using the Three Forms of the Quadratic. By: Camesha Anglin PAP Algebra II 2a. This is the Given Graph…. The three types of equations are: Factored form -F(x)=a(x-r 1 )(x-r 2 ) Vertex form -V(x)=a(x-h) 2 Standard form -S(x)=ax 2 + bx+c. How to find factored form.

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Making Equations Using the Three Forms of the Quadratic

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  1. Making Equations Using the Three Forms of the Quadratic By: Camesha Anglin PAP Algebra II 2a

  2. This is the Given Graph… • The three types of equations are: • Factored form • -F(x)=a(x-r1)(x-r2) • Vertex form • -V(x)=a(x-h)2 • Standard form • -S(x)=ax2 +bx+c

  3. How to find factored form • You have to use the roots or zeros to find the factored form • The zeros are (-3,0)&(4,0) • So the equation will be: • -F(x)=a(x+3)(x-4)

  4. How to find the vertex form • You have to use the vertex point to find the vertex form • The vertex is (0.5,-12.25) • So the equation will be: • -a(x-0.5) 2 -12.25

  5. How to find the standard form • Once you find the factored form equation you can easily find the standard form • The factored equation is f(x)=a(x+3)(x-4) • So you will foil the equation: • -s(x)=x2 –x-12

  6. The End!!

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