Write the rule
f(x) = x2 transformed to:
g(x) = 5x2
Vertical stretch by 5
f(x) = x3 transformed to:
g(x) = x3+5
5 units up
f(x)=x3
shifts 4 units up, 9 units left
g(x)= (x+9)3+4
f(x) = x5
shifts 2 units right, 5 units up
g(x)= (x-2)5+5
f(x) = x2
shifts 10 units down
f(x) = x2 transformed to:
g(x) = 3(-x2)
Vertical stretch by 3, reflection over y-axis
f(x) = x5 transformed to:
g(x) = -(12x+4)5
f(x) = x2
reflects over the x-axis
g(x) = -x2
f(x) = x4
Horizontal shrink by 1/2, shifts 4 units left
g(x) = (2x+4)4
f(x) = x6
Vertical stretch by 6, shifts up 3 units
g(x) = 6x6+3
f(x) = x3 transformed to:
g(x) = -4x3
reflection over x-axis, vertical stretch by 4
f(x) = x2 transformed to:
g(x) = 7(-x+2)2-3
vertical stretch by 7, reflection over y-axis, shift left 2 units, down 3 units
f(x) = x2
Reflection over the y-axis, Horizontal stretch by 4, shifts up 7 units
g(x) = (-1/4x)2+7
f(x) = x2
Reflection over the y-axis, Vertical stretch by 5, shifts right 3 units
g(x) = 5(-x-3)2
f(x) = x3
up 8 units, reflection over x-axis, vertical shrink by 2/3
g(x) = -2/3x3 + 8
f(x) = x4 transformed to:
g(x) = (-1/3x)4
reflection over y-axis, horizontal stretch by 3
f(x) = x5 transformed to:
g(x) = -(x-4)5-6
f(x) = x4
Reflection over the x-axis, Horizontal shrink by 1/3, shifts down 5 units
g(x) = -(3x)4 - 5
f(x) = x2
Vertical stretch by 8, shift right 1 unit, shift up 12 units
g(x) = 8(x-1)2+12
f(x) = x5
Reflection over the x-axis, Horizontal stretch by 1/5
g(x) = -(5x)5
f(x) = x2 transformed to:
g(x) = 1/2(-x)2
Vertical shrink by 1/2, reflection over y-axis
f(x) = x2 transformed to:
g(x) = -(4x)2+2
Reflection over the x-axis, Horizontal shrink by 1/4, shift up 2 units
f(x) = x2
Reflection over the y-axis, vertical stretch by 7, shifts right 1 unit, down 5 units
g(x) = 7(-x-1)2-5
f(x) = x3
Vertical shrink by 5/6, shifts left 4 units
g(x) = 5/6(x+4)3
f(x) = x6
Reflection over the y-axis, shifts up 4 units
g(x) = (-x)6+4