Block 2 Flashcards
Absolute value inequality form [A] < c is equivalent to:
- c < A < c
”(-) negative c is LESS THAN A which is LESS THAN c”
Absolute value inequality form [A] = c is equivalent to:
- c = A = c
”(-) negative c is LESS than or EQUAL to A which is LESS than or EQUAL to c”
Absolute value inequality form [A] > c is equivalent to:
A < - c
“A is LESS THAN (-) negative c”
OR
A > c
“A is GREATER THAN c”
(duh this is the form given just without the absolute value)
Absolute value inequality form [A] >/= c is equivalent to:
A = -c
“A is LESS than or EQUAL to (-) negative c”
OR
A >/= c
“A is GREATER than or EQUAL to c”
(duh this is the form given just without the absolute value)
What is an Absolute Value?
The distance from 0 on the number line
[u] < k is equivalent to:
- k < u < k
[u] > k is equivalent to:
u < -k
OR
u > k (the form given)
What form will you give your answer in if it says Interval Notation?
The ( , ) or [ , ] to determine inclusive or not
With infinities if needed
y = f(x)
How are you going to transform it to:
y = af(x)
- Multiply y-coords by a
This will result in VERTICAL stretching/shrinking
y = f(x)
How are you going to transform it to:
y = f(ax)
- Divide x-coords by a
This will result in HORIZONTAL stretching/shrinking
y = f(x)
How will you reflect it to:
y = - f(x)
Reflect over the x-axis
y = g(x)
How will you reflect it to:
y = g(-x)
Reflect over the y-axis
What is the formula for finding DISTANCE between two points on a graph?
d = Square root of:
(x2 - x1)^2 + (y2 - y1)^2
What is the formula for finding the MIDPOINT of a segment?
(x1 + x2 / 2 , y1 + y2 / 2)
What is the standard equation of a circle?
(x - h)^2 + (y - k)^2 = r^2
