Home > Algebra > Graphs of Absolute Value Equations

The graph of g(x) results when the graph of f(x) = |x| is shifted 6 units upward. Which is the equation of g(x)?

Answer 1

Eli Assouline

#g(x)=abs(x)+6#

The graph shown 6 units above the origin is #g(x)=abs(x)+6#

The graph shown originating from the origin is #f(x)=abs(x)#

graph{(y-abs(x))(y-abs(x)-6)=0[-20,20,-10,10]}

God bless...I hope the explanation is useful.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Genesis Allen

The equation of ( g(x) ) resulting from shifting the graph of ( f(x) = |x| ) six units upward is ( g(x) = |x| + 6 ).

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.