Composition of functionsHSF.BF.A.1cEvaluate compositions such as f(g(3)) and find composite functions f(g(x)) and g(f(x)) with linear and quadratic functions.Arithmetic and geometric sequencesHSF.BF.A.2Find any term of an arithmetic sequence (add d each time) or a geometric sequence (multiply by r each time).Writing equations of parabolasHSF.BF.B.3Write y = a(x − h)² + k from a shift of y = x², or from the vertex and one more point.Transformations of functionsHSF.BF.B.3Write the equation of a parent function after shifts, reflections and vertical stretches: g(x) = a·f(x − h) + k.Inverse functionsHSF.BF.B.4aFind the inverse of linear, cubic and simple rational functions by swapping x and y and solving for y.Exponential and logarithmic formHSF.BF.B.5Rewrite exponential equations as logarithms and logarithmic equations as exponentials, including negative exponents.