math 1/27/25 Flashcards
(parent function) Linear
f(x)=x (straight diagnose line)
(parent function) quadratic
f(x)=x^2 (U shape)
(parent function) cubic
f(x)=x^3 (down and up crossing through the middle)
(parent function) absolute value
F(x)=[x] (V shape)
(parent function) reciprocal
f(x)=1/x (L opposite of each other in fist and third quadrants) - count counter clock wise
(parent function) tangent
f(x)=tan(x) (multiple cubics across the graph)
(parent function) Logarithmic
f(x)=In(x) (upsidedown L neg to post)
(parent function) square Root
f(x)=squareroot x (line curving starting from the middle)
(parent function) Sine
f(x)=sin(x) (wavy line through middle of graph)
(parent function) Cosine
f(x)=cos(x) (wavy line through middle of graph)
Reflection
if the first number is negative or positive
Shrinking
when a is grater then 1 (a>1)
stretching
when a is less then 1 (a<1)
(x-1) moving
right 1
(x+1) moving
left 1
Axis of symmetry
The X coordinate
Up or down
outside () pos= up neg=down
how do you know how many solutions a equation has?
the highest exponent
(leading coeff) + (degree) even
U shape
(leading coeff) - (degree) even
upside down U
(leading coeff) + (degree) odd
negative to positive (left to right)
(leading coeff) - (degree) odd
positive to negitive (right to left)
(parent function) exponential
f(x)= e^x (L shape)
how do you find the y intercept
replace X with 0
how do you find x intercept
make it equal to 0
