SOLUTION: graph Y=3x^2-8x+2 and give the vertex, domain and rage thanks 4 your time

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Question 62265: graph Y=3x^2-8x+2 and give the vertex, domain and rage
thanks 4 your time

Answer by funmath(2933)   (Show Source): You can put this solution on YOUR website!
graph Y=3x^2-8x+2 and give the vertex, domain and rage
This quadratic equation is in standard form:
Your a=3, b=-8, c=2
We can find the x coordinate for the vertex with the formual



Plug x=4/3 into your equation to find the y-coordinate of the vertex.






The vertex is (4/3,-10/3)
:
The domain (possible x values) for all quadratic equations like this is ALL REAL NUMBERS. (x can be anything.) In set builder notation {x|x=R}, in interval notation (-infinity,infinity).
:
The range (possible y values) is found by first looking at a. a=3--it is positive. That means that the parabola opens upward and the y coordinate of the vertex is it's lowest y. Therefore the range is {y|y>=-10/3}.
:
Happy Calculating!!!

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