Answer:
Y = [tex]\frac{7}{16}[/tex] (X -2)² - 3
Step-by-step explanation:
Given as A parabola passes through (6 , 4)
And vertex of parabola = (2 , -3)
Now equation of parabola in vertex form :
Y = a (X - h)² + k , where( h,k) are the vertex of parabola
If a is positive , the parabola open upside
If a is negative , the parabola open downside
∴ Y = a (X - 2)² + ( -3)
As parabola passes through (6 ,4)
4 = a (6 -2)² -3
a = [tex]\frac{7}{16}[/tex]
Hence the equation of parabola with vertex is ,
Y = [tex]\frac{7}{16}[/tex] (X -2)² - 3 Answer
