Transformations

Question 1

Describe the transformation done for y=f(-x)

x -> -x

Answer 1

Reflection in the y-axis
(-x,y)

Question 2

Describe the transformation done for y= -f(x)

y -> -y

Answer 2

Reflection in the x-axis
(x,-y)

Question 3

Describe the transformation done for y= af(x)

y -> (1/a)y

Answer 3

scaling parallel to the y-axis by factor of a

(x, ay)

Question 4

when y is replaced with 1/a y, describe the transformation

Answer 4

scaling // to the y axis by factor of a

Question 5

when x is replaced with ax, describe the transformation

Answer 5

scaling // to the x axis by a factor of (1/a)x

Question 6

How do you remember which is 1/a and not for scaling??

Answer 6

When u replace right it’s like

ay = f(x) OR y = f(ax)

right so the FACTOR is always
= 1/a YEAHH

and the parallel to AXIS is the SAME as the replaced y/x

Question 7

Describe the transformation done for y= f(ax)

x -> ax

Answer 7

Scaling parallel to the x axis by factor of 1/a

(1/a x, y)

Question 8

Describe the transformation done for y= f (x) + a

Answer 8

Translation by a units in the positive y-direction

Question 9

Describe the transformation done for y= f (x) - a

Answer 9

Translation by a units in the negative y direction

Question 10

When is the axis swapped for describing the transformation ?(out of translation, scaling, reflection)

Answer 10

Reflection (when replacing with -y, reflection is in the x axis)

Question 11

How do you remember which is positive or negative and not for translation ??

Answer 11

Aight so the direction (-ve/+ve) in the description is always OPPOSITE to the DIRECTION YOU REPLACE IT WITH

y -> y - a = in positive y direction
x -> x + a = in negative x direction

Question 12

Describe the transformation done for y= f (x - a)

Answer 12

Translation by a units in the positive x direction

(x + a, y)

Question 13

Describe the transformation done for y= f (x + a)

Answer 13

translation by a units in the negative x direction

(x-a, y)