Horizontal and Vertical Translations Dialations Reflections and Dilations All Together
100
3 to the right and up 2
g(x)= (x-3)^2 + 2
100
Compressed
a(x)=1/2x^2
100
Reflection over X-Axis
f(x)=-x^2
100
Reflected across X-Axis, left 3, stretched
k(x)=-4(x+3)^2
200
3 to the left and down 1
h(x)=(x+3)^2 -1
200
Stretched
b(x)=3x^2
200
Reflection over Y-Axis
g(x)=(-x)^2
200
Reflected over X-Axis, down 2
l(x)=-x^2-2
300
82 to the right and down 7
s(x)=(x-82)^2 - 7
300
Stretched
c(x)=4/3x^2
300
Compressed
h(x)=1/5x^2
300
Reflection over X-Axis, up 8
m(x)=-x^2+8
400
71 to the left and up 13
f(x)=(x+71)^2 + 13
400
Compressed
d(x)=2/3x^2
400
Reflection over x-axis and stretched
i(x)=-9/8x^2
400
stretched, up 12
n(x)=4x^2+12
500
8 to the right and up 9
t(x)=(x-8)^2 + 9
500
Compressed
e(x)=8/9x^2
500
Reflection over x-axis and compressed
j(x)=-3/4x^2
500
compressed, down 56
o(x)=1/8x^2-56






9.3 Transformations of Quadratic Functions

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