SOLUTION: Given f(x) =3x^2-4x-4
A)express the function in vertex form f(x) =a(x-h)^2 +k
B)sketch its graph and label the x-int, if any, as well as the vertex and y-int
C) identify the
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Question 772686: Given f(x) =3x^2-4x-4
A)express the function in vertex form f(x) =a(x-h)^2 +k
B)sketch its graph and label the x-int, if any, as well as the vertex and y-int
C) identify the domain and range
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Given f(x) =3x^2-4x-4
A)express the function in vertex form f(x) =a(x-h)^2 +k
B)sketch its graph and label the x-int, if any, as well as the vertex and y-int
C) identify the domain and range
***
A)
y=3x^2-4x-4
complete the square:
y=3(x^2-4x/3+4/9)-4/3-4
y=3(x-2/3)^2-16/3
..
C)
Domain: all real numbers or (-∞, ∞)
Range: [-16/3,∞)
..
B)
Vertex: (2/3,-16/3)
..
y-int:
set x=0
y=3x^2-4x-4=-4
y=-4
..
x-int:
set y=0
3x^2-4x-4=0
(3x+2)(x-2)=0
x=-2/3
or
x=2
see graph below:
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