math review terms

quadratic parent function

y = x²

quadratic general function

y= a(x-h)+k

quadratics domain

IR

quadratics range

y ≥ k (if a is pos.) or y ≤ k (is a is neg.)

absolute value parent function

y = |x|

absolute value general function

y = a |x - h| + k

absolute value domain

IR

absolute value range

y ≥ k (if a is pos.) or y ≤ k (is a is neg.)

square root parent function

y = √x

square root general function

y = a√(x - h) + k

square root domain

x ≥ h

square root range

y ≥ k (if a is pos.) or y ≤ k (is a is neg.)

cubic parent function

y = x³

cubic general function

y = a(x - h)³ + k

cubic domain

IR

cubic range

IR

cubic root parent function

y = ∛x

cubic root general form

y = a∛x-h +k

cubic root domain

IR

cubic root range

IR

rational parent function

y = 1/x

rational general function

y = a/x-h +k

rational domain

x ≠ h

rational range

y ≠ k

vertex

(h, k)