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eduard
3 years ago
9

Explain how you could write a quadratic function in factored form that would have a vertex with an x-coordinate of 3 and two dis

tinct roots.
Mathematics
2 answers:
KATRIN_1 [288]3 years ago
5 0
The vertex is on the axis of symmetry, so the axis of symmetry is x = 3. Find any two x-intercepts that have the equivalent distance from the axis of symmetry. Use those x-intercepts to write factors of the function by subtracting their values from x. For example, 2 and 4 are each 1 unit from x = 3, so f(x) = (x – 2)(x – 4) is a possible function.
shutvik [7]3 years ago
3 0

Answer:

Sample Response: The vertex lies on the axis of symmetry, so the axis of symmetry is x = 3. Find any two x-intercepts that are equal distance from the axis of symmetry. Use those  x-intercepts to write factors of the function by subtracting their values from x. For example, 2 and 4 are each 1 unit from x = 3, so f(x) =  (x – 2)(x – 4) is a possible function.

Step-by-step explanation:

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