
Know what knowledge is needed to proceed in the course and what is expected in the course.
Explore relations and functions through ordered pairs, inputs and outputs, mapping diagrams, and one-to-one, one-to-many, and many-to-one patterns.
Identify a function by reviewing relation concepts and using mapping diagrams, ordered pairs, equations, and graphs; apply the vertical line test to distinguish functions from non-functions.
Explore function notation and its meaning, writing outputs as f(x) instead of y, and learn to evaluate functions by substituting inputs like f(2) or f(-1) with step by step examples.
Explore domain and range using function notation and a simple machine model to map inputs to outputs, defining domain as input values and range as output values, with sqrt examples.
Explore how inverse functions reverse inputs and outputs by swapping x and y using ordered pairs. Apply to f(x)=2x+5 to derive inverse (x−5)/2 and verify with substitutions.
Explore how parent functions form a family of graphs and how transformations modify slope and y-intercept to create new functions.
Explore horizontal stretch, compression, and reflection of functions using A and K transformations, where K acts on the input. Identify how K values determine the graph's shape.
Explore horizontal translation, shifting the graph left or right by applying d to the input on x-values, with positive d moving left and negative d moving right in quadratic examples.
Explore vertical translation of a quadratic function, shifting the graph up or down by c, using y = a x^2 plus or minus c, and understand the role of c.
Apply the full set of transformations to sketch graphs of linear, quadratic, square root, reciprocal, and absolute value functions using vertical and horizontal stretches, shifts, and translations.
In this course you are going to learn everything that you need to know about high school level function and its transformation. The course consists of several video lesson, explaining the concepts as simply as possible and showing examples that would help to understand the knowledge. Also there are multiple choice short quizzes to test your understanding and skills. You will also be provided with downloadable pdf of practice questions which will keep you consistent in practicing. In Math, it is all about the practice. As the Law of Practice says, "Whatever you practice, you get good at". So, what are you waiting for? If you are someone who wants to become a master in functions and its transformations, this is the place for you.