4.7 and 4.8

Question 1

Reflection (flip) over the x-axis

Answer 1

Multiply a negative outside of the function

Question 2

Reflection (flip) over the y-axis

Answer 2

Multiply a negative inside of the function

Question 3

Vertical Dilation

Answer 3

Multiplying a constant outside of the function
If #>1: Stretch
If #>0 and #<1 : shrink

Question 4

How do you multiply by factors in a vertical dilation?

Answer 4

Whole number: Same
Fraction: Same

Question 5

Horizontal Dilation

Answer 5

Multiplying a constant inside of the function
If #>1: Shrink
If #>0 and #<1 : Stretch
***REMEMBER THE NUMBER WILL BE THE OPPOSITE RECIPROCAL

Question 6

How do you multiply by factors in a horizontal dilation?

Answer 6

Whole number: Opposite reciprocal
Fraction: Opposite reciprocal

Question 7

Translation (shift) up/down
Adding a constant outside the function

Answer 7

+k: shift up
-k: shift down

Question 8

Translation (shift) left/right
Adding a constant inside the function

Answer 8

*** Will be the opposite of what is shown in the equation
+h: shift left
-h: shift right

Question 9

How to write a rule for a function

Answer 9

Apply the rules to the function (ex: f(-x) - (

Question 10

How to tell if a function is even or odd

Answer 10

Plug in the opposite of the function and determine whether the new function is the same or opposite as the old one

Question 11

Even

Answer 11

All are the same

Question 12

Odd

Answer 12

All are different

Question 13

Neither

Answer 13

Some are the same, some are different

Question 14

An even exponent multiplied by a negative x will be…

Answer 14

Positive

Question 15

An odd exponent multiplied by a negative x will be…

Answer 15

Negative

Question 16

Local Min

Answer 16

Coordinate of a turning point that is lower than all other points

Question 17

Rules for local max and min

Answer 17

There is only one local max and min on a graph at a time

Question 18

When you have f(x+#), what do you do?

Answer 18

Plug the (x+#) into the x in the original function

Question 19

When you have a # multiplied outside of the function, what do you do?
Ex. #f(x)

Answer 19

Multiply the number by the whole original function.
#(x+x+#)

Question 20

How to write a rule that represents transformations

Answer 20

1. Write a function that represents the first translation
2. Take that function and plug the next translation into it

Question 21

How to write a horizontal dilation

Answer 21

It’s on the inside so f(#x) MULTIPLY ONLY THE X’S BY IT
make sure to write the opposite reciprocal

Question 22

How to write a vertical dilation

Answer 22

It’s on the outside so #f(x)
MULTIPLY EVERY TERM BY IT

Question 23

When writing a rule with an h shift…

Answer 23

Plug it into x because its on the inside

Question 24

When writing a rule with a k shift…

Answer 24

Leave it and subtract from the whole numbers without exponents