Write the equation of a function whose parent function, f(x)= x + 6, is shifted 4 units to the right. Og%) = x - 10 O g(x)=-4 Og%) = x + 2 Ogl/)=+ 10
Mathematics · High School · Mon Jan 18 2021
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Given the function:
f(x) = x + 6
Write the equation of the function if the given graph shifted 4 units to the right.
Solution:
Given the function f(x), if the function shifted n units to the right or left, or it is often called as the horizontal shift, then, we can equate as f(x - h) or f (x + h), where h is the numerical constant of the given function. If the function is shifted to the right, we equate it as, f (x - h), hence if the function is shifted to the left, the function will be written as, f(x + h). In our case since we are asked to shift 4, units to the right, then we simply subtract 4 to the given function.
f(x) = x + 6
f(x) = x + 6 - 4
f(x) = x + 2
Final answer:
f(x) = x + 2