1.3 Transformations of Lines

Question 1

Horizontal Translation

Answer 1

Right Trans: f(x-h)

Left Trans: f(x+h)

Question 2

Reflection: X-axis

Answer 2

f(x) times -1

Question 3

Reflection: y-axis

Answer 3

f(-x)

Question 4

Vertical Stretch

Answer 4

a times f(x)

Question 5

Vertical Compression

Answer 5

a times f(x)

Question 6

Horizontal Stretch

Answer 6

f (1/b x)

Question 7

Horizontal Shrink

Answer 7

f(1/b x)

Question 8

Vertical Translate

Answer 8

f(x)+k

f(x)-k

Question 9

Standard Form

Answer 9

ax^2+bx+c

Question 10

Vertex Form

Answer 10

a(x-h)^2 +k

Question 11

Axis of symemetry equation

Answer 11

-b/2a

Question 12

complete square

Answer 12

(b/2)^2

Question 13

axis of symmetry equation

Answer 13

-b/2a

Question 14

standard form

Answer 14

ax^2 +bx+ c

Question 15

Constant Parent Function

Answer 15

f(x)= c

Question 16

Linear parent function

Answer 16

f(x)= x

Question 17

Quadratic Parent Function

Answer 17

f(x)=x^2

Question 18

Cubic Parent Function

Answer 18

f(x)=x^3

Question 19

Square root

Answer 19

f(x)= square root of x

Question 20

Correlation Coefficient

Answer 20

-measures strength of correlation
greater or equal to -1, less than or equal to 1
-1= perfect negative correlation
1= perfect positive correlation
0= no correlation

Question 21

Quadratic Equation

Answer 21

-b (plus or minus) square root b^2 -4ac / 2a

Question 22

Completing the square

Answer 22

(b/2)^2

Question 23

Interval Notation

Answer 23

sets of numbers

Question 24

Set notation

Answer 24

1 is greater than x is less than 3

Question 25

Discriminant

Answer 25

b^2-4ac - negative= 2 imaginary solutions (no x intercepts) - Positive= 2 real solutions - 0 = 1 real solution

Question 26

Difference of cubes

Answer 26

A^3 -b^3= (a-b) (a^2+ab+b^2)

Question 27

Sum of cubes

Answer 27

A^3-b^3 = (a+b) (a^2-ab+b^3)