Question

Write the equation of the parabola in vertex form.

vertex (2,1)​, point (1,-5)

Answer 1

y = - 6(x - 2)² + 1

Explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

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

given (h, k ) = (2, 1 ) , then

y = a(x - 2)² + 1

to find a , substitute the point (1, - 5 ) for x and y into the equation

- 5 = a(1 - 2)² + 1 ( subtract 1 from both sides )

- 6 = a(- 1)² = a

y = - 6(x - 2)² + 1 ← in vertex form