Question

9. What is the vertex of the function? f(x) = 3x² - 8x + 10​

Answer 1

The vertex of the function is (1.333, 4.667)

Explanation:

1. Calculate -b / 2a. This is the x-coordinate of the vertex.

2. simply plug -b / 2a into the equation for x and solve for y.

`Y = 3x^(2) - 8x + 10\\Compare with the form of y = ax^(2) + bx + c\\So that means a = 3, b = -8, and c = 10.`

Calculate -b/2a:

`X = -(-8)/2(3)`

`X = 8/6`

This is equal to 1.33 recurring

Plug 8/6 for x and solve for y:

`Y = 3x^(2) - 8x + 10`

`Y = 3((8)/(6))^(2) - 8((8)/(6)) + 10`

`Y = (48)/(9) - (64)/(6) + 10\\`

This is equal to 4.66 reccuring.