SOLUTION: Hi Can I have some help with this problem? Sketch the graph of the given parabola and state the coordinates of its vertex and its intercepts. y=2x^2 + x-6

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Question 127522: Hi Can I have some help with this problem?
Sketch the graph of the given parabola and state the coordinates of its vertex and its intercepts.
y=2x^2 + x-6

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!


The y-intercept occurs where

(0,-6) is the y-intercept
The x-intercepts (the roots) occur where



The x-intercepts occur where



----------------


The x-intercepts occur at (3/2,0) and (-2,0)
----------------
The vertex occurs exactly between the roots
To find it, use

The vertex is at (-1/4,y)

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