Question

question 6 (mandatory) (1 point)
the graph of the function ( g(x)=f(x - h) ) is a shift of ( h ) units to the right of the graph of ( f(x) ).
true
false

Explanation:

For a function \( y = f(x) \), the transformation \( y=f(x - h)\) (where \(h>0\)) shifts the graph of \(y = f(x)\) horizontally. When we replace \(x\) with \(x - h\) in the function \(f(x)\), to get the same \(y\)-value as in \(f(x)\), we need to use a larger \(x\)-value. For example, if \(y = f(0)\) in \(y = f(x)\), then in \(y=f(x - h)\), \(y = f(0)\) when \(x=h\). This means the graph moves \(h\) units to the right.

Answer:

True