Consider the graphs y = -
(x + 0) ^{2 } -
(x + 1) ^{2 } -
(x + 2) ^{2 } -
(x + 3) ^{3}
We see that adding a number inside the parenthesis shifts the graph left or right. The rules below state this precisely.
Consider the graphs y
= -
x ^{3 } -
x ^{3}+ 1^{ } -
x ^{3}+ 2^{ } -
x ^{3}+ 3
We see that adding a number outside the parenthesis shifts the graph up or down. The rules below state this precisely.
y = x^{3} - {0,1,2,3}
Consider the graphs y = x
We can see that one is a reflection of the other.
This leads us to the fifth rule.
and are
the same except they are reflected about the x axis.
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