Which statements about the graph of the function f(x) = –x2 – 4x + 2 are true? Check all that apply.
2 answers:
Remark
There is nothing like a graph to settle arguments about which property is to be checked.
Property One
The graph's domain is (-∞<x<∞) there are no restrictions. So property 1 is false.
Property two
The graph says that property two is true. You could complete the square to confirm it. When you do you get
y = -(x^2 + 4x) + 2
y = -(x^2 + 4x + 4) + 2 + 4
y = -(x + 2)^2 + 6 So the y value must be less that 6 ( or equal to 6)
Property Three
Property 3 is true if you are referring to the domain and neither -2 nor - infinity are included.
Property Four
Property Four is not true, It begins to decrease when x>-2 to + infinity
Property Five
It is positive (2).
There is nothing like a graph to settle arguments about which property is to be checked.
Property One
The graph's domain is (-∞<x<∞) there are no restrictions. So property 1 is false.
Property two
The graph says that property two is true. You could complete the square to confirm it. When you do you get
y = -(x^2 + 4x) + 2
y = -(x^2 + 4x + 4) + 2 + 4
y = -(x + 2)^2 + 6 So the y value must be less that 6 ( or equal to 6)
Property Three
Property 3 is true if you are referring to the domain and neither -2 nor - infinity are included.
Property Four
Property Four is not true, It begins to decrease when x>-2 to + infinity
Property Five
It is positive (2).
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