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Pearson Algebra 2 Common Core, 2011 View details

6. Solving Systems Using Matrices

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Exercise 57 Page 181

Determine which operation should be used for the given transformation.

y=2x

Practice makes perfect

To write the equation y, let's recall what it means to vertically stretch a linear equation.

Vertical Stretch or Compression
Vertical stretch, a>1 y= af(x)	Vertical compression, 0< a<1 y= af(x)

When the equation is vertically stretched by a factor of 2, the line is pulled away from the x-axis at a rate of 2 times faster than the given equation, y=x. y= 2x

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Extra Information

Here is the list of all possible transformations.

Transformations of y=f(x)
Vertical Translations	Translation up k units, k>0 y=f(x)+ k
Vertical Translations	Translation down k units, k>0 y=f(x)- k
Horizontal Translations	Translation right h units, h>0 y=f(x- h)
Horizontal Translations	Translation left h units, h>0 y=f(x+ h)
Vertical Stretch or Compression	Vertical stretch, a>1 y= af(x)
Vertical Stretch or Compression	Vertical compression, 0< a<1 y= af(x)
Horizontal Stretch or Compression	Horizontal stretch, 0< b<1 y=f( bx)
Horizontal Stretch or Compression	Horizontal compression, b>1 y=f( bx)
Reflections	In the x-axis y=- f(x)
Reflections	In the y-axis y=f(- x)

Subchapter links

Lesson Check p.179

Practice and Problem-Solving Exercises p.179-181

Standardized Test Prep p.181

Mixed Review p.181

Exercise 57 Page 181

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