[size=100]In past lessons, you studied transformations of linear and polynomial functions. Use what you have learned about parameters [color=#900000]m, b, a, h[/color], and [color=#900000]k[/color] to predict how the graph of the parent function y = 2x will be transformed by each function in the table. Ask yourself whether the graph will be shifted horizontally or vertically, right or left, stretched or shrunk, or reflected across a mirror line. Insert the letter of your prediction in the table.[br][br][/size][center]Linear: [i]y = mx + b[/i][br][size=100][/size]Quadratic: [i]y[/i] = [i]a[/i][math](x-h)^2[/math][math][/math]+ [i]k[/i][/center]
Prediction for transformation of graph of the parent function y = [math]2^x[/math]. [br]The graph will be: [br][br]a. shifted vertically by ______ units.
Prediction for transformation of graph of the parent function y = [math]2^x[/math]. [br]The graph will be: [br][br]stretched/widened by a factor of _____ units.
Prediction for transformation of graph of the parent function y = [math]2^x[/math]. [br]The graph will be: [br][br]c. shrunk/narrowed by a factor of ______ units.
Prediction for transformation of graph of the parent function y = [math]2^x[/math]. [br]The graph will be: [br][br]d. reflected about the x-axis.
Prediction for transformation of graph of the parent function y = [math]2^x[/math]. [br]The graph will be: [br][br]e. reflected about y-axis.
Prediction for transformation of graph of the parent function y = [math]2^x[/math]. [br]The graph will be: