is given Use transformations to create a function whose grap

is given. Use transformations to create a function whose graph is as shown V2

Solution

The second graph is a parabola and a parabolic function can be represented by a quadratic equation ax²+bx+c =y

From the graph we know at y=0, x=3,5 and y=2 x=4

Thus substitute x and y in the equation and we\'d 3 equations

9a+3b+c=0 , 25a+5b+c= 0 and 16a+4b+c=2

Sloving these we\'d get a=-2, b=16 and c=-30

And substitute these values to get the function in y

y= -2x²+16x-30c