) () = 2 − 6 + 13 Translate f(x) 7 units to the left and down 5 units. Write your new function in vertex form

Step-by-step explanation:

Given

Required

7 units left and 5 units down

First, we have: [7 units left]

The rule is:

So, we have:

Next, we have: [5 units down]

The rule is:

So, we have:

Rewrite as:

Expand

Collect like terms

To write in vertex form, we have

Subtract 15 from both sides

Divide (-8) by 2; Add the square to both sides

Expand

Factorize

Factor out x - 4

Rewrite as:

Make y the subject

The vertex is: