Question

will mark brainliest plz help asap


Write the function of the graph of

ℎ(x) = 3| x− 2| + 4

after it has been translated 3 units to the right and

down 1 unit.

Answer 1

Answer:

$g(x) = 3 |x - 5| + 3$

Step-by-step explanation:

Lets suppose that : y = f(x)

translating to the right:

(moving the graph to the right)

$y = f(x - a)$

where: a>0

translating to the left:

(moving the graph to the left)

$y = f(x - ( - a)) = f(x + a)$

where: a>0

translating up:

(moving the graph up)

$y = f(x) + b$

where: b>0

translating down:

(moving the graph down)

$y = f(x) - b$

where: b>0

So, in our case:

h(x) = 3 | x - 2 | + 4

*translating 3 to the right , 1 down

g(x) = h( x - 3 ) - 1

g(x) = 3 | x - 3 - 2 | + 4 - 1

g(x) = 3 | x - 5 | + 3