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)

Answer 1

D. (3, -1).

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.

Answer 2

Answer: Last Option

(3, -1)

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)