Identify the vertex for (x-3)2 – 1. Question 4 options: One of the options below is the answer (-3, -1)

Question

Identify the vertex for (x-3)2 – 1.
Question 4 options:
One of the options below is the answer

(-3, -1)

(-3, 1)

(3, 1)

(3, -1)

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Madelyn 1 day 2021-09-15T17:40:27+00:00 2 Answers 0

Answers ( )

    0
    2021-09-15T17:41:38+00:00

    Answer:

    D.  (3, -1).

    Step-by-step explanation:

    The vertex for ( x – a)^2 + b  is (a, b).

    Comparing (x – 3)^2 – 1 with this we get:

    a = 3 and b = -1.

    0
    2021-09-15T17:42:08+00:00

    Answer: Last Option

    (3, -1)

    Step-by-step explanation:

    We have the following quadratic function:

    f(x) =(x-3)^2 - 1

    By definition for a quadratic function in the form:

    f (x) = a (x-h) ^ 2 + k

    the vertex of the function is always the point (h, k)

    Note that for this case the values of h, a, and k are:

    a = 1\\h = 3\\k = -1

    Therefore the vertex of the function f(x) =(x-3)^2 - 1 is the point

    (3, -1)

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