Algebra & Functions Flashcards
(21 cards)
Solve for the Expression
(x+y)^2 =
x^2 + 2xy + y^2
Solve for the Expression
(x-y)^2 =
x^2 - 2xy + y2^2
Solve for the Expression
x+y)(x-y
x^2 - y^2
Exponents
y^4 + y^3 =
y^4 + y^3
Can’t do anything with it.
Exponents
(8^m)^2 =
8^2m
Exponents
y^3/5 =
root y^3 with 5 outside
Exponents
y^-3/5
1 / root y^3 with 5 on the outside
Functions
y = f(x+1)
Shifts 1 to the left
Functions
y= f(x-1)
Shifts 1 to the right
Functions
y= f(x) + 1
Shifts 1 up
Functions
y= f(x) - 1
Shifts 1 down
Functions
-f(x)
Negates y-values
Flips about the x-axis
Functions
f(-x)
Negates x-values
Flips about the y axis
Functions
What happens to the x-intercept when you reflect about the x-axis?
Nothing. Stays the same.
Functions
What happens to the y-intercept when you reflect about the y-axis?
Nothing. Stays the same.
Functions
What happens to the y-intercept and slope when you reflect a line across the x-axis?
They’re negated.
Functions
What happens to the slope when you reflect a line across either axis?
It’s negated.
Functions
y =2f(x)
Farther from x-axis (skinnier)
Functions
y= 1/2f(x)
Closer to x-axis (fatter)
Lines
The x-intercept of a line is the x-value of the equation when y = ___
0
Lines
The y-intercept of a line is the y-value of the equation when x = ____
0
