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notsponge [240]
3 years ago
10

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

Mathematics
2 answers:
ollegr [7]3 years ago
6 0

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

Bumek [7]3 years ago
5 0
Please use " ^ " to indicate exponentiation.  Then:  <span>f(x) = (x – 3)^2 – 1.
By comparing this equation to                                  y-k  = (x-h)^2
you can see that h=3 and k= -1.  Thus, the vertex is at (3, -1).
The axis of symm. goes thru the vertex, so is x = 3.
The domain is the set of all real numbers.
Since the vertex is (3, -1), the smallest value y can take on is -1.  Thus, the range is [-1, infinity)

</span>
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2 years ago
determine if l || m based on the information given on the diagram. If yes, state the converse that proves the lines are parallel
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