Question
Find the zeros of the following quadratic function by completing the square. What are the x-intercepts of the graph of the function?
Find the zeros of the following quadratic function by completing the square. What are the x-intercepts of the graph of the function?
g(x) = (x-6)^2 - 9
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Koala Tutor
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To find the zeros of the function, we set g(x) equal to zero and solve for x:
0 = (x-6)^2 - 9
Add 9 to both sides:
9 = (x-6)^2
Take the square root of both sides:
±3 = x - 6
Add 6 to both sides to solve for x:
x = 6 ± 3
So, the zeros of the function are x = 9 and x = 3.
These are also the x-intercepts of the graph of the function.
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