Write the equation of the parabola in vertex form.
vertex (1, 3), point (2, -4)
f(x)=
since you know the vertex , you equation looks like
y = a(x-1)^2 + 3
but (2,-4) lies on it , so
-4 = a(2-1)^2 + 3
a = -7
y = -7(x-1)^2 + 3
vertex (1, 3), point (2, -4)
f(x)=
y = a(x-1)^2 + 3
but (2,-4) lies on it , so
-4 = a(2-1)^2 + 3
a = -7
y = -7(x-1)^2 + 3