Move the sliders to see the effect of a, b, h & k on the shape and position of the parabola from the parent graph of [math]f\left(x\right)=x^2[/math][br][br][color=#1155cc][center][math]f\left(x\right)=a\left(b\left(x-h\right)\right)^2+k[/math][/center][/color]Dilations:[br]a = vertical stretch, compression, and reflection[br]b= horizontal stretch, compression, and reflection[br][br]Translations:[br]h= horizontal translation[br]k= vertical translation[br]