5 transformations

Question 1

What does the transformation y=2f(x) mean?

Answer 1

All y coordinates times by 2 (stretch in the y axis of scale factor 2)

Question 2

What does the transformation y=f(1/2x) mean?

Answer 2

All x coordinates times by 2 (stretch in the x axis by scale factor 2)

Question 3

What is the shape of a cubic graph?

Answer 3

-Starts Highest point in top right quadrant and ends lowest point

Question 4

What is the shape of a quartic graph?

Answer 4

w shape

Question 5

How can you derive the equation of a quadratic, cubic and quartic?

Answer 5

-y=a(x-b)(x-c)….

Question 6

What are the types of reciprocal and which quadrants are they in?

Answer 6

1/x = top right and bottom left.
-1/x = top left and bottom right 

1/x^2 two top quadrants.
-1/x^2 two bottom quadrants.

Question 7

What happens when the number on the top of the reciprocal is higher

Answer 7

-The curve is higher up.

Question 8

What does the translation f(x+2) mean?

Answer 8

-Translated two to the left

Question 9

What does the translation f(x-2) mean?

Answer 9

-Translated two to the right.

Question 10

What is important about transforming reciprocals?

Answer 10

-Apply translations to asymptotes also.

Question 11

What do you do if a function is x^2-x+2 and then it asks you to sketch x^2(x-2)+x(x-2)+2

Answer 11

-Apply the transformation f(x-2)

Question 12

What is the transformation -f(x)?

Answer 12

• Times y coordinate by negative 1

- Reflection in the x axis.

Question 13

What is the transformation f(-x)

Answer 13

-Times x coordiintebby -1 reflection in the y axis.

Question 14

What is the transformation of f(|x|)?

Answer 14

-everything on right gets reflected to left

Question 15

What is the transformation of |f(x)|

Answer 15

-Everything below goes up