Translations/Refelections

Question 1

y=f(x), Vertical Translation up

Answer 1

y=f(x)+k, k>0: ex: y=(x^2)+3

Question 2

y=f(x), Horizontal Translation Left

Answer 2

y=f(x+h), h>0: ex: y=(x^2+3)

Question 3

y=f(x), Reflection on the X-Axis

Answer 3

y=-f(x) ex: y=-(x^2)+3

Question 4

y=f(x), Compress Vertical

Answer 4

y=af(x), a>1: ex: y=2(x^2)+3

Question 5

y=f(x), Stretch Vertical

Answer 5

y=af(x), 1>a>0: ex: y=1/2(x^2)+3

Question 6

y=f(x), Vertical Translation Down

Answer 6

y=f(x)+k, k<0: ex: y=(x^2)-3

Question 7

y=f(x), Horizontal Translation Right

Answer 7

y=f(x+h), h<0: ex: y=(x^2-3)

Question 8

y=f(x), Compress Horizontal

Answer 8

y=f(bx), b>1: ex: y=(2x^2)+3

Question 9

y=f(x), Stretch Horizontal

Answer 9

y=f(bx), 1>b>0: ex: y=(1/2x^2)+3

Question 10

y=f(x), Reflection on the y-axis

Answer 10

y=f(-x): ex: y=(-x^2)+3