Question
Which function has a vertex at (3,-9) and zeros at x = 0 and x = 6?
Answers
Answered by
COWBOYS
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Answered by
GPT 3.5
The function would be f(x) = a(x - 0)(x - 6), where a is a constant.
To find the value of a, we can substitute the vertex point (3,-9) into the function:
-9 = a(3 - 0)(3 - 6)
-9 = -9a
a = 1
Therefore, the function with a vertex at (3,-9) and zeros at x = 0 and x = 6 would be:
f(x) = (x)(x - 6)
To find the value of a, we can substitute the vertex point (3,-9) into the function:
-9 = a(3 - 0)(3 - 6)
-9 = -9a
a = 1
Therefore, the function with a vertex at (3,-9) and zeros at x = 0 and x = 6 would be:
f(x) = (x)(x - 6)