graphs Flashcards
(17 cards)
linear y=x
quadratic y=x²
cubic y=x³
negative linear y=-x
reciprocal y=1/x
quadratic y=-x²
cubic y=-x³
fx
function of x
-f(x)
reflection on the x-axis
f(-x)
reflection in the y-axis
f(x-a)
is a translation on the x axis, a units
f(x)+b
translation on the y axis, b units
cf(x)
an enlargement in the y-axis scale factor c
f(dx)
x-axis scale factor of 1/d
How do you solve a double inequality like 3 < 2x + 1 ≤ 7?
Solve both sides separately
Keep inequality signs facing same way
Final answer: range form (e.g. 1 < x ≤ 3)
Vectors in Geometry
To prove lines are parallel, show vectors are scalar multiples.
To prove midpoints, show two segments are equal using vectors.
To prove collinearity, show all points lie on the same straight line (same direction vector or multiples).