Exploring Transformations of Parent functions af(b(x-c)) +d

Review Quadratic Transformations Use the Desmos graph to explore how a, b, c, and d affect the function af(x), f(b), f(x-c) and f(x)+d Absolute Value Transformations Use the Desmos graph to explore how a, b, c, and d affect the function af(x), f(b), f(x-c) and f(x)+d Cubic Transformations Use the Desmos graph to explore how a, b, c, and d affect the function af(x), f(b), f(x-c) and f(x)+d Square Root Transformations Use the Desmos graph to explore how a, b, c, and d affect the function af(x), f(b), f(x-c) and f(x)+d Cube Root Transformations Use the Desmos graph to explore how a, b, c, and d affect the function af(x), f(b), f(x-c) and f(x)+d Rational Transformations Use the Desmos graph to explore how a, b, c, and d affect the function af(x), f(b), f(x-c) and f(x)+d Exponential Transformations Use the Desmos graph to explore how a, b, c, and d affect the function af(x), f(b), f(x-c) and f(x)+d. Logarithmic Transformations Use the Desmos graph to explore how a, b, c, and d affect the function af(x), f(b), f(x-c) and f(x)+d What happened when you change the "a" or "b" value? If a<1, a negative number, the graph reflects across the x-axis. When a >1 , the graph stretches vertically. On the other hand, when 0<a<1, the graph compressesvertically. If b<1, a negative number, the graph reflects across the y-axis. When b >1 , the graph compresses horizontally. On the other hand, when 0<b<1, the graph stretches horizontally. What happened when you change the "c" or "d" value? When c>1, as in f(x-c), the graph translates right. When c<1, as in f(x+c), the graph translates left. When d>1, as in f(x)+d, the graph tranlates up. When d<1, as in f(x)-d, the graph translates down. Parent Functions Transformations Summary Please watch this video REFLECTION: How did using the desmos sliders and watching this video help you to understand transformations of functions? What helped you the most? What questions do you still have?