IMathAS-libretexts

Function Transformation
Complete the following sentences on function transformation.
$\displaystyle {y}={f{{\left({x}\right)}}}+{28}$ can be obtained from the graph of $\displaystyle {y}={f{{\left({x}\right)}}}$ by shifting the graph of $\displaystyle {y}={f{{\left({x}\right)}}}$ units.
$\displaystyle {y}={f{{\left({x}-{40}\right)}}}$ can be obtained from the graph of $\displaystyle {y}={f{{\left({x}\right)}}}$ by shifting the graph of $\displaystyle {y}={f{{\left({x}\right)}}}$ units.
$\displaystyle {y}={f{{\left({x}+{95}\right)}}}$ can be obtained from the graph of $\displaystyle {y}={f{{\left({x}\right)}}}$ by shifting the graph of $\displaystyle {y}={f{{\left({x}\right)}}}$ units.
$\displaystyle {y}={f{{\left({x}\right)}}}-{26}$ can be obtained from the graph of $\displaystyle {y}={f{{\left({x}\right)}}}$ by shifting the graph of $\displaystyle {y}={f{{\left({x}\right)}}}$ units.