Answer:
x² + 18x + 81 = 0
Step-by-step explanation:
For the zero to -9, the equation has to be x + 9.
x = -9
x + 9 = 0
Since the only zero is -9, square the equation. Expand to get the function
(x + 9)² = 0
x² + 18x + 81 = 0
The quadratic function f whose only zero is -9 should be [tex]x^2 + 18x + 81 = 0[/tex]
A quadratic function should be the one of the form f(x) [tex]= ax^2 + bx + c[/tex] , where a, b, and c are numbered with a not equal to zero. The graph of a quadratic function is a curve known as a parabola.
So, For the zero to -9, the equation has to be x + 9.
Now
x = -9
x + 9 = 0
So it can be like (x + 9)² = 0
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