Answer:
y=1/4(x−2)2−5.
Step-by-step explanation:
The equation of the parabola with vertex (h,k) is y=a(−h+x)^2+k.
Thus, the equation of the parabola is y=a(x−2)^2−5.
To find a, use the fact that the parabola passes through the point (4,−4): −4=4a−5.
Solving this equation, we get that a= 1/4.
Thus, the equation of the parabola is y=1/4 (x−2)2−5.
