Answer:
-1/4(x-4)²-b
Step-by-step explanation:
Here,
The vertex of parabola is (4,-7)
Suppose that the equation of parabola is a(x-4)²-b
Now,
[tex]y=a(x-4)^{2} -b\\\\a=\frac{1}{-7-(-5)*2}\\\\a=\frac{1}{-7+5*2} \\\\a=-\frac{1}{4} \\[/tex]
Replacing value of a.
Hence,y=-1/4(x-4)²-b