Question

write a formula for quadratic function if its graph has the vertex at point (0,6) and passes through the point (-1, -2)

Answer 1

Explanation:

Use the vertex

`- 8 {x}^(2) + 6`

formula, we know that h is 0 and k is 6 so we get

`a(x {}^(2) ) + 6`

Now, we set that equal to y and plug in -1 for x and -2 for y to solve for a.

`a( (- 1) {}^(2) ) + 6 = - 2`

`a(1) + 6 = - 2`

`a = - 8`

So our formula is

`- 8( {x}^(2) ) + 6`

ir

`- 8 {x}^(2) + 6`