Respuesta :
The required graphing of the function is shown in the image.
Given that,
To explains the property of the graph [tex]y=3(x-2)^2-3[/tex] , with help of the graph.
What is a graph?
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
What is a parabola?
A parabola is a cross-section cut out of the cone and represented by an equation [tex]y =4ax^2[/tex] .
Given expression is of parabola,
[tex]y=3(x-2)^2-3[/tex]
Properties are given by,
1 ) Vertex of the parabola
(h, k) = (2, -3)
2) The axis of symmetry,
x = 2
3) Coordinate the focus
(h, k+ 1/4a) = (2 , -3 + 1/4*3)
= (2 , -2.91 )
4) The roots of the equation
[tex]0 =3(x-2)^2-3\\[/tex]
x - 2 = ± 1
x = -1 and x = 3
Thus, the required graphing of the function is shown in the image.
Learn more about graphs here:
brainly.com/question/16608196
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