Question

Please help with this question!!!

Answer 1

y = - 3(x + 1 )² + 2

the equation of a quadratic in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

here vertex = (- 1, 2), hence

y = a(x + 1)² + 2

to find a substitute (1, - 10) into the equation

- 10 = 4a + 2 ⇒ 4a = - 12 ⇒ a = - 3

y = - 3(x + 1)² + 2 ← in vertex form