Question

PLS ASAP!! Thank You

Answer 1

`y = (1)/(2)x - 4`

Explanation:

Given

`y = (1)/(2)x`

Required

Shift
`3\ units` down and
`2\ units` right

`y = (1)/(2)x`

Shift 3 units down

The rule is: (x,y)=> (x,y-a)

Where a is the number of units shifted down

In this case:
`a = 3`

So, we have:

`y = (1)/(2)x` == >
`y = (1)/(2)x - 3`

Shift 2 units right

The rule is: (x,y)=>(x-b,y)

Where b is the number of units shifted right

In this case:
`b = 2`

So, we have:

`y = (1)/(2)x - 3` ==>
`y = (1)/(2)(x - 2) - 3`

Open bracket:

`y = (1)/(2)x - 1 - 3`

`y = (1)/(2)x - 4`

Hence, the new equation after the transformation is:

`y = (1)/(2)x - 4`