Explain how you could write a quadratic function in

factored for that would have a veres with an

coordinate of 3 and two distinct roots,

Answer : the vertex lies on the axis of symmetry, so the axis of symmetry is x=3. Find any two x-intercepts that are equal distances 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) (-4) is a possible function.

Question

Karson Delgado

Mathematics

17 May, 10:43

Explain how you could write a quadratic function in

factored for that would have a veres with an

coordinate of 3 and two distinct roots,

Answer : the vertex lies on the axis of symmetry, so the axis of symmetry is x=3. Find any two x-intercepts that are equal distances 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) (-4) is a possible function.

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Answers (1)

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Gillian Powers · Answer 1

Step-by-step explanation:

The vertex lies on the axis of symmetry, so the axis of symmetry is x=3. This is correct.

Note that the second half of this problem has already been answered correctly. The axis of symmetry is precisely halfway between the two roots and has equation x = 3 in the case of x = 2 and x = 4.