Mathematics · Polynomial Functions · Topic 15 · 15 of 18
Transformations of Polynomial Graphs
Translate, reflect, stretch, and compress polynomial graphs.
Horizontal shift hf(x−h) moves right h units; f(x+h) moves left.
Vertical shift kf(x)+k moves the graph up or down.
Scale and reflection a|a| stretches or compresses; negative a reflects across the x-axis.
Transformation form
g(x)=a·f(x−h)+k
Use the interactive sliders in Practice and describe every transformation in words.