Question

Gerald graphs the function f(x) = (x – 3)2 – 1. Which statements are true about the graph? Check all that apply.

1-The domain is {x| x ≥ 3}.
2-The range is {y| y ≥ –1}.
3-The function decreases over the interval (–∞, 3).
4-The function increases over the interval (–1, ∞).
5-The axis of symmetry is x = –1.
6-The vertex is (3, –1).

Answer 1

Answer:

Options 2,3,6 are right

Step-by-step explanation:

Given is a quadratic function as

$(x - 3)^2- 1.$

This is a parabola in vertex form

Vertex = (3,-1)

Open up since leading term is positive

symmetrical about x =3

Range is y≥-1

The function decreases for x<3

Increases for x >3

Hence the correct options are

Option 2, 3, 6

Answer 2

Answer:

It's B, C, E

The range is {y| y ≥ –1}.

The function decreases over the interval (–∞, 3).

The vertex is (3, –1).

Step-by-step explanation:

I just took the test on edge