Question

Please find the vertex

Answer 1

Answer: Vertex is (2,2)

=====================================

Explanation:

The equation

y = -3x^2 + 12x - 10

is in the form

y = ax^2 + bx + c

with a = -3, b = 12, c = -10

Plug the 'a' and 'b' values into the equation below to find the x coordinate of the vertex

h = -b/(2a)

h = -12/(2*(-3))

h = -12/(-6)

h = 2

The x coordinate of the vertex is h = 2, which is then used to find the y coordinate of the vertex

y = -3x^2 + 12x - 10

y = -3(2)^2 + 12(2) - 10

y = -3(4) + 12(2) - 10

y = -12 + 24 - 10

y = 12 - 10

y = 2

The y coordinate of the vertex is k = 2

The vertex is (h,k) = (2,2)