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

nagasenaz

nagasenaz

Answered

2021-02-05

To determine:One similarity and one difference between the graphs of the equations
y2=4xand(y1)2=4(x1)

Answer & Explanation

odgovoreh

odgovoreh

Expert

2021-02-06Added 107 answers

Given: Equations of the graphs:
y2=4xand(y1)2=4(x1)
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 (y1)2=4(x1)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.

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