Question

PLS ASAP!! Thank You

Answer 1

Answer:

$y = \frac{1}{2}x - 4$

Step-by-step explanation:

Given

$y = \frac{1}{2}x$

Required

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

$y = \frac{1}{2}x$

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:

$y = \frac{1}{2}x$ == > $y = \frac{1}{2}x - 3$

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:

$y = \frac{1}{2}x - 3$ ==> $y = \frac{1}{2}(x - 2) - 3$

Open bracket:

$y = \frac{1}{2}x - 1 - 3$

$y = \frac{1}{2}x - 4$

Hence, the new equation after the transformation is:

$y = \frac{1}{2}x - 4$