MATH SOLVE

4 months ago

Q:
# The graph of f(x) = 2x + 3 shifts 10 units to the right when it is replaced with the graph of f(x) = 2x β k. What is the value of k?

Accepted Solution

A:

ANSWER[tex]k = 17[/tex]EXPLANATIONThe given function is [tex]f(x) = 2x + 3[/tex]The translation that shifts this function 10 units to the right is[tex]f(x - 10)[/tex]This implies that[tex]f(x - 10) = 2(x - 10) + 3[/tex]We expand the parenthesis to get:[tex]f(x - 10) = 2x -20+ 3[/tex][tex]f(x - 10) = 2x - 17[/tex]Comparing this equation with[tex]f(x) = 2x - k[/tex]we have [tex]k = 17[/tex]