using the graph, determine the coordinates of the vertex of the parabola.
can you show your work as well!?
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The standard equation of a parabola is
y=ax2+bx+c .
But the equation for a parabola can also be written in "vertex form":
y=a(x−h)2+k
In this equation, the vertex of the parabola is the point (h,k) .You can see how this relates to the standard equation by multiplying it out:
y=a(x−h)(x−h)+ky=ax2−2ahx+ah2+k .
This means that in the standard form, y=ax2+bx+c , the expression −b2a gives the x -coordinate of the vertex.
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