Quadratic Dilation

• stretched

• reflected

• x-axis

• compressed

• translated

• y-axis

Match the equation to its description.

• Stretched by 2 and up 4

• Compressed by 2 and up 4

• Stretched by 2 and left 4

• Compressed by 2 and left 4

Match the equation to its description.

• Stretched by 4 and up 4

• Compressed by 4 and up 4

• Stretched by 4 and left 4

• Compressed by 4 and left 4

Which of the following describes the transformations done to the quadratic parent function of f(x) = x² to obtain g(x) = 2x² + 4 ?

• Vertical Stretch by a factor of 2 and vertical shift up 4 units

• Vertical Compress by a factor 2 and vertical shift up 4

• Vertical Stretch by a factor of 2 and horizontal shift left 4 units

• Vertical Compress by a factor of 2 and horizontal shift right 4 units

If the value in front of the parenthesis or x2 value is between 0 and 1( a fraction) then the graph...

• gets narrower (vertical stretch)

• gets "fatter" (vertical shrink)

• Moves up 1

• moves right 1

If the value in front of the parenthesis or x2 value is greater than 1 then the graph...

• moves left 1

• moves up 1

• gets narrower (vertical stretch)

• gets wider (fatter, vertical shrink)

y=(x² -2) +1

• y=(x² -2) +1

• y=(x-2)²+1

• y=(x+1)²-2

• y=|x+2| +1

• Horizontal Translation of -3, Vertical Dilation of -3

• Horizontal Translation of +3, Horizontal Dilation of -3

• Horizontal Translation of +3, Vertical Dilation of -3

• Horizontal Dilation of -3, Vertical Translation of -3

Describe the transformation of y = f(x) for the new function

f(x) = 5x² + 2

• Vertical Dilation by a factor of 5, Vertical Translation of +2

• Vertical Dilation by a factor of 5, Horizontal Translation of +2

• Vertical Dilation by a factor of 5, Horizontal Translation of -2

• Horizontal Dilation by a factor of 5, Horizontal Translation of +2