Transformations

Question 1

Where are invariant points located on graph of -f(x)?

Answer 1

On x-axis

Question 2

f(-x)

Answer 2

Reflection in y-axis

Question 3

-f(x)

Answer 3

Reflection in x axis

Question 4

K value

Answer 4

Vertical translation k units up/down
-k= down
+k= up

Question 5

H value

Answer 5

Horizontal translation h units left/right
-h= left
+h= right

Question 6

B value

Answer 6

Horizontal stretch by a factor of 1/b about the y axis

Question 7

A value

Answer 7

Vertical stretch by a factor of a about the x axis

Question 8

Where are the invariant located on the graph of f(-x)

Answer 8

the y-axis

Question 9

Where are the invariant points located on the graph of x=f(y) (inverse)

Answer 9

the line of y=x

Question 10

Where are the invariant points located on the graph of √f(x)

Answer 10

points where y = 0 & 1

Question 11

Order of operations

Answer 11

SmaRT

1. stretches
2. reflections
3. translations

Question 12

replacement of variables

Answer 12

x –> bx
y –> y/a
x –> x-h
y –> y-k

Question 13

Mapping notation

Answer 13

(x,y) –> (x/b+h, ay+k)

Question 14

Horizontal Stretch effect

Answer 14

wider when 0<b>1</b>

Question 15

Vertical stretch effect

Answer 15

shorter when 0<a>1</a>

Question 16

Always factor out the _ value

Answer 16

B bitch

Question 17

How can you figure is a graph is a function?

Answer 17

vertical line test

Question 18

_ test done to check if the inverse is a function without graphing it

Answer 18

do the horizontal line test on the original function

if the line crosses more then one point on the graph it fails the test, making the inverse not a function.