Question

How do you write a quadratic equation with vertex (-1, 4) and point (-3, - 4)?

Answer 1

Answer:

Step-by-step explanation:

y = k(x - a)^2 + b is the equation of a parabola with vertex at (a , b).

y = k(x + 1)^2 + 4

Now since (- 3 , - 4) belongs to the parabola, then - 4 = 4k + 4 and therefore k = - 2. Finally

y = - 2(x + 1)^2 + 4.