Question

Write the equation of the parabola in vertex form.

vertex (1, 3), point (2, -4)

f(x)=

Answer 1

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