Question 1190017
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The order of transformations is the order in which you would evaluate y for a given value of x, using PEMDAS order of operations.<br>
Parent function: {{{y=x^2}}}<br>
{{{graph(400,400,-4,12,-4,10,x^2)}}}<br>
(1) parentheses: (x-4)^2: {{{y=(x-4)^2}}} --> translation 4 to the right<br>
{{{graph(400,400,-4,12,-4,10,x^2,(x-4)^2)}}}<br>
(2) multiplication: 5(x-4)^2: {{{y=5(x-4)^2}}} --> vertical stretch by a factor of 5<br>
{{{graph(400,400,-4,12,-4,10,x^2,(x-4)^2,5(x-4)^2)}}}<br>
(3) addition: 5(x-4)^2+3:  {{{y=5(x-4)^2+3}}} --> vertical translation up 3<br>
{{{graph(400,400,-4,12,-4,10,x^2,(x-4)^2,5(x-4)^2,5(x-4)^2+3)}}}<br>