what does the transformation $f(x) mapsto f(7x)$ do to the graph of $f(x)$?\nshrinks it horizontally\nstretch…

what does the transformation $f(x) mapsto f(7x)$ do to the graph of $f(x)$?\nshrinks it horizontally\nstretches it horizontally\nstretches it vertically\nshrinks it vertically

what does the transformation $f(x) mapsto f(7x)$ do to the graph of $f(x)$?\nshrinks it horizontally\nstretches it horizontally\nstretches it vertically\nshrinks it vertically

Answer

Brief Explanations:

For a function ( y = f(x) ), the transformation ( y = f(kx) ) where ( k>1 ) (in this case ( k = 7 )) is a horizontal shrink. The general rule is that if we have a function ( y=f(x) ) and we consider ( y = f(kx)), the ( x -)values that gave a particular ( y -)value in ( y = f(x)) are now (\frac{1}{k}) of what they were. So the graph is compressed (shrunk) horizontally. For example, if ( f(x)) has a point ((x_0,y_0)) such that (y_0=f(x_0)), then for (y = f(7x)), when (x=\frac{x_0}{7}), (y=f\left(7\times\frac{x_0}{7}\right)=f(x_0)=y_0).

Answer:

shrinks it horizontally