Lesson 1-5 (#2) Name Function Family, Describe Single Transformation Compared with Parent Function
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46 Terms
f(x)=x²+3
quadratic, up 3 units
f(x)=x²-3
quadratic, down 3 units
f(x)=(x+3)²
quadratic, left 3 units
f(x)=(x-3)²
quadratic, right 3 units
f(x)=3x²
quadratic, taller/narrower
f(x)=(3x)²
quadratic, taller/narrower
f(x)=¾x²
quadratic, shorter/wider
f(x)=(¾x)²
quadratic, shorter/wider
f(x)=-x²
quadratic, reflected
f(x)=(-x)²
quadratic, reflected
f(x)=x³+3
cubic, up 3 units
f(x)=x³-3
cubic, down 3 units
f(x)=(x+3)³
cubic, left 3 units
f(x)=(x-3)³
cubic, right 3 units
f(x)=3x³
cubic, taller/narrower
f(x)=(3x)³
cubic, taller/narrower
f(x)=¼x³
cubic, shorter/wider
f(x)=(¼x)³
cubic, shorter/wider
f(x)=-x³
cubic, reflected
f(x)=(-x)³
cubic, reflected
f(x)=|x+3|
absolute value, left 3 units
f(x)=|x|+3
absolute value, up 3 units
f(x)=|x-3|
absolute value, right 3 units
f(x)=|x|-3
absolute value, down 3 units
f(x)=½|x|
absolute value, shorter/wider
f(x)=|½x|
absolute value, shorter/wider
f(x)=-|x|
absolute value, reflected
f(x)=|-x|
absolute value, reflected
f(x)=3|x|
absolute value, taller/narrower
f(x)=|3x|
absolute value, taller/narrower
f(x)=√(x+3)
square root, left 3 units
f(x)=√(x)+3
square root, up 3 units
f(x)=√(x-3)
square root, right 3 units
f(x)=√(x)-3
square root, down 3 units
f(x)=√(3x)
square root, taller/narrower
f(x)=3√(x)
square root, taller/narrower
f(x)=0.9√(x)
square root, shorter/wider
f(x)=√(0.9x)
square root, shorter/wider
f(x)=-√(x)
square root, reflected
f(x)=√(-x)
square root, reflected
f(x)=1/x + 3
reciprocal, up 3 units
f(x)=1/(x+3)
reciprocal, left 3 units
f(x)=1/x - 3
reciprocal, down 3 units
f(x)=1/(x-3)
reciprocal, right 3 units
f(x)=3/x
reciprocal, taller/narrower
f(x)=-(1/x)
reciprocal, reflected