1.3 Transformations of Lines Flashcards
Horizontal Translation
Right Trans: f(x-h)
Left Trans: f(x+h)
Reflection: X-axis
f(x) times -1
Reflection: y-axis
f(-x)
Vertical Stretch
a times f(x)
Vertical Compression
a times f(x)
Horizontal Stretch
f (1/b x)
Horizontal Shrink
f(1/b x)
Vertical Translate
f(x)+k
f(x)-k
Standard Form
ax^2+bx+c
Vertex Form
a(x-h)^2 +k
Axis of symemetry equation
-b/2a
complete square
(b/2)^2
axis of symmetry equation
-b/2a
standard form
ax^2 +bx+ c
Constant Parent Function
f(x)= c
Linear parent function
f(x)= x
Quadratic Parent Function
f(x)=x^2
Cubic Parent Function
f(x)=x^3
Square root
f(x)= square root of x
Correlation Coefficient
-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
Quadratic Equation
-b (plus or minus) square root b^2 -4ac / 2a
Completing the square
(b/2)^2
Interval Notation
sets of numbers
Set notation
1 is greater than x is less than 3
Discriminant
b^2-4ac
- negative= 2 imaginary solutions (no x intercepts)
- Positive= 2 real solutions
- 0 = 1 real solution
Difference of cubes
A^3 -b^3= (a-b) (a^2+ab+b^2)
Sum of cubes
A^3-b^3 = (a+b) (a^2-ab+b^3)
