MATH SOLVE

3 months ago

Q:
# will mark brainliest plz help asap Write the function of the graph ofℎ(x) = 3| x− 2| + 4after it has been translated 3 units to the right anddown 1 unit.

Accepted Solution

A:

Answer:[tex]g(x) = 3 |x - 5| + 3[/tex]Step-by-step explanation:Lets suppose that : y = f(x)translating to the right: (moving the graph to the right)[tex]y = f(x - a)[/tex] where: a>0translating to the left: (moving the graph to the left)[tex]y = f(x - ( - a)) = f(x + a)[/tex] where: a>0translating up:(moving the graph up)[tex]y = f(x) + b[/tex] where: b>0translating down:(moving the graph down)[tex]y = f(x) - b[/tex] where: b>0So, in our case: h(x) = 3 | x - 2 | + 4 *translating 3 to the right , 1 downg(x) = h( x - 3 ) - 1g(x) = 3 | x - 3 - 2 | + 4 - 1g(x) = 3 | x - 5 | + 3