Question

6. What is the vertex of the graph of y = x2 – 8x + 6

(Hint: use x = - to find the AOS)
b
2a
Show work

Answer 1

`\boxed {( 4, - 10)}`

Explanation:

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

Here are some formulas that you might need.

`h = - (b)/(2a) \\ k = \frac{4ac - {b}^(2) }{4a}`

The vertex of graph is at (h, k) from the vertex form.

`x = h \\ y = k`

Substitute in the formula.

`h = - (( - 8))/(2(1)) \\ h = (8)/(2) \\ h = 4`

Next we find the value of k.

`k = \frac{4(1)(6) - {( - 8)}^(2) }{4(1)} \\ k = (24 - 64)/(4) \\ k = ( - 40)/(4) \\ k = - 10`

Therefore the vertex is (4,-10).