Problem 14

Given information

we have two given curves which are actually parabola and their standard forms are:

  and

from standards form of both parabolas we can find vertices of both parabolas :

when x=0 in then y=0 .hence parabola has vertex (0,0).

when x=0 & y=0 in then y=4.&x=2. hence parabola  has vertex (2,4).

Step-by-step explanation

now we find intersection point of both the curves , by putting ;

now  put x=0 in we have y=0 and  put x=2 in we have y=4,

hence (0,0) and (2,4) are intersection points of both the curves .