The second part of our lesson involves writing a quadratic function for a graph that has real roots.  This is very similar to the first part. 

1. Look at the graph. Since the roots are not actually stated, you must determine the roots from the graph. What are they for this example? Click here to check your answer.
   (1, 0) and (6, 0)
   

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2. Write the two factors for the quadratic equation. Click here to check your answer.
   (x - 1) and (x - 6)
   

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3. Write an equation in the form y=x²+Bx+C. Click here to check your answer.
   y = (x - 1)(x - 6)
   Which becomes
   y = x² - 7x + 6
   

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4. Finally, how can we create the other solutions if the function must remain quadratic? Click here to check your answer.
   Multiply by any constant. For example, you could use y = -3(x - 1)(x - 6)
   Which becomes y = -3x² + 21x - 18
   

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