document.write( "Question 1190017: Describe the transformations that must be applied to the graph of y= x^2 to obtain the transformed
\n" ); document.write( "function y= 5(x-4)^2+3. Use mathematical terminology such as reflection, stretch, compress, and translate. \n" ); document.write( "

Algebra.Com's Answer #821574 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "The order of transformations is the order in which you would evaluate y for a given value of x, using PEMDAS order of operations.

\n" ); document.write( "Parent function: $\"y=x%5E2\"$

\n" ); document.write( " $\"graph%28400%2C400%2C-4%2C12%2C-4%2C10%2Cx%5E2%29\"$

\n" ); document.write( "(1) parentheses: (x-4)^2: $\"y=%28x-4%29%5E2\"$ --> translation 4 to the right

\n" ); document.write( " $\"graph%28400%2C400%2C-4%2C12%2C-4%2C10%2Cx%5E2%2C%28x-4%29%5E2%29\"$

\n" ); document.write( "(2) multiplication: 5(x-4)^2: $\"y=5%28x-4%29%5E2\"$ --> vertical stretch by a factor of 5

\n" ); document.write( " $\"graph%28400%2C400%2C-4%2C12%2C-4%2C10%2Cx%5E2%2C%28x-4%29%5E2%2C5%28x-4%29%5E2%29\"$

\n" ); document.write( "(3) addition: 5(x-4)^2+3: $\"y=5%28x-4%29%5E2%2B3\"$ --> vertical translation up 3

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