To determine:One similarity and one difference between the graphs of the equations y2=4xand(y−1)2=4(x−1)

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To determine:One similarity and one difference between the graphs of the equations  y2=4xand(y−1)2=4(x−1)

odgovoreh · Accepted Answer

Given: Equations of the graphs:  y2=4xand(y−1)2=4(x−1)  The similarity between the two given graphs is as follows:  Both the graphs of the given equations are open from right side and have their directrix parallel to the Y-axis.  The difference between the two given graphs is as follows:  For the equation y=4x2, the parabola has its lowest point, that is, the vertex, at the origin (0, 0) opening in the first and third quadrants.  However, for the equation (y—1)2=4(x−1)2, the value of h = p = k = 1. So, the coordinates of the vertex of the parabola will be  (h+p,k)=(1+1,1)  =(2,1)  Conclusion: One similarity and one difference between the graphs of the given equations are discussed above.

To determine:One similarity and one difference between the graphs of the equations y^2=4x and (y-1)^2=4(x-1)

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