The solutions of a quadratic equation are −4 and 9. What is the standard form of a related quadratic function?
Move the correct answer to each box to complete the standard form of the quadratic function described.
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The standard form of a quadratic function is given by f(x) = ax^2 + bx + c.
Since the solutions of the quadratic equation are -4 and 9, the roots of the quadratic function are -4 and 9. This means that when we set f(x) equal to 0, we will get x = -4 and x = 9.
The standard form of the quadratic function can be written as f(x) = a(x - r)(x - s), where r and s are the roots of the function.
Therefore, the standard form of the related quadratic function is:
f(x) = a(x + 4)(x - 9)