Question

What is the equation of the graph below​

Answer 1

B

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, 2), hence

y = a(x - 3)² + 2

If a > 0 then vertex is a minimum

If a < 0 then vertex os a maximum

From the graph the vertex is a maximum hence a < 0

let a = - 1, then

y = - (x - 3)² + 2 → B

Answer 2

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

Explanation:

since the curve is convex up so the coefficient of x^2 is negative

and by substituting by the point 3 so y = 2