Write a quadratic function h whose only zero is 7.
Question
Write a quadratic function h whose only zero is 7.
Solution
A quadratic function is generally given by f(x) = ax^2 + bx + c.
If the only zero of the function is 7, it means the function touches the x-axis at x=7 and nowhere else. This implies that the function is a perfect square trinomial.
The quadratic function can be written in the form of (x - p)^2 where p is the root of the function.
Since the given root is 7, the function becomes:
h(x) = (x - 7)^2
So, the quadratic function h whose only zero is 7 is h(x) = (x - 7)^2.
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