Question

How to write vertex form when given to choices of “a” in a question ex: write the vertex form of the function where a=1 or a= -1 and H and K are integers? And the vertex is (-1,4)

Answer 1

Explanation:

Vertex form of quadratic equation is

`y = a(x-h)^2 + k`

where h and k are the x and y coordinates of the vertex, respectively.

so in this problem

if a=1 and Vertex is (-1,4) means h= -1 and k = 4

the equation will be

`y = 1 (x-(-1))^(2) + 4`

`y = (x+1)^2 + 4`

if a=-1 and Vertex is (-1,4) means h= -1 and k = 4

the equation will be

`y = -1 (x-(-1))^(2) + 4`

`y = -(x+1)^2 + 4`