Reflections
stretches and compressions
Horizontal translations
Vertical translations
Mixed transformations
100

What is a reflection over the x-axis?


-f(x)


100

What is a vertical stretch by factor 4?


y=4x^2


100

What is a horizontal translation right 7 units?


y=(x-7)^2


100

What is a vertical translation up 8 units?


y=x^2+8


100

What is a vertical stretch by factor 2 and right 3 units?


y=2(x-3)^2


200

What is a reflection over the y-axis?


f(-x)


200

What is a vertical compression by factor 1/2?


y=1/2x^2


200

What is a horizontal translation left 4 units?


y=(x+4)^3


200

What is a vertical translation down 5 units?


y=sqrt(x-5)


200

What is left 5 units, reflected over the x-axis, and up 1 unit?


y=-|x+5|+1


300

What is a reflection over the x-axis?


y=-|x|


300

What is a horizontal compression by factor 1/3?


y=f(3x)


300

What is (2,0)?


y=(x-2)^2


300

What is the minimum value of 11?


y=|x|+11


300

What is a vertical compression by factor \frac13, right 4 units, and down 2 units?


y=1/3(x-4)^2-2


400

What is a reflection over the y-axis and x-axis?


y=-f(-x)


400

What is a horizontal stretch by factor 4?


y=f(1/4x)


400

What is left 9 units?


y=sqrt{x+9}


400

What is -6?


y=(x-3)^2-6


400

What is left 1 unit, reflected over the x-axis, vertical stretch by factor 2, and down 7 units?


y=-2sqrt(x+1)-7


500

What is a reflection over the y-axis and a reflection over the x-axis?


y=-sqrt(-x)


500

What is a reflection over the x-axis and a vertical stretch by factor 5?


y=-5(x)^2


500

What is a horizontal translation right h units?


y=f(x-h)


500

What is a vertical translation up k units?


y=f(x)+k


500

What is left 8 units, reflected over the x-axis, vertically compressed by factor \frac12, and up 6 units?


y=-1/2(x+8)^2+6


M
e
n
u