What is the equation of the quadratic function in vertex form if the vertex is at (3,5) and has a leading coefficient of 2

y-5 = 2 (x-3) ^2

Step-by-step explanation:

The general form of this quadratic equation is y-k = a (x-h), where (h, k) is the vertex and a is the leading coefficient.

In this case, y-5 = 2 (x-3) ^2.

y = 2 (x - 3) ² + 5

Step-by-step explanation:

the equation of a parabola 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 (h, k) = (3, 5) and a = 2, hence

y = 2 (x - 3) ² + 5 ← in vertex form