If you change a function like f(x) to f(-x), it flips the function over the y-axis! Follow along with this tutorial to see how to take a function and reflect it over the y-axis.
Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).
Every see 'f(x)' in your math? That's function notation! It's a way to indicate that an equation is a function. Learn about function notation by watching this tutorial.
Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.
When you look in the mirror, you see a reflection of yourself. Reflections in math involve flipping something over a line called the line of reflection. This tutorial shows you how to reflect a function over a chosen line!