Question

What is the equation of the quadratic function represented by this table?

Answer 1

Explanation:

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

`vertex = (h \: \: \: k)`

from the table

`vertex = ( - 2 \: \: \: 4)`

therefore

`h = - 2 \: \: and \: \: k = 4`

`y = a {(x + 2)}^(2) + 4`

when x= 0, y = 3

`3 = a {(2)}^(2) + 4`

`3 = 4a + 4`

`a = ( - 1)/(4)`

therefore equation of the function

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