Linear Transformations Day 3

Master linear transformations with this practice worksheet. Learn to identify and create transformations on graphs and equations.

Section 1 Match the transformation with the correct function, based on transforming from the linear parent function (y=x). The graph shifts up. The graph reflects The graph is steeper. The graph is less steep. The graph shifts down. Section 2 Determine what linear transformations are occurring from the linear parent function (y=x). Write yes if the transformation occurs and no if it does not. Equation Reflects Less Steep More Steep Shifts Up Shifts Down yes no yes yes no no yes no no yes yes no no no yes no no yes yes no yes no yes no no Section 2 Click the dot and type the function that best represents the description transformation from the linear parent function f(x)=x. Remember, all functions start with f(x)= NOT y= . Also, do NOT put any spaces in your answer as the grader is very picky. f(x)=2x+1 f(x)=-5 f(x)=-x f(x)=2 f(X)=5 f(x)=-1 The graphs of linear functions f and g are shown on the grid.Which function is best represented by the graph ofg? g(x)=x-4 g(x)=1 g(x)=x-2 g(x)=3x A car rental store rents cars for $20 a day. The function f(x) = 20x represents the daily rental fee for x days. The company decides to add a one-time $10 fee for cleaning, which of the following best represents the NEW equation? f(x) = 20x f(x) = 20x +10 f(x) = 10x f(x) = 10x + 20 BONUS Write the equation of the function that represents the changes from the linear parent function on the side of the graph. THEN graph both the linear parent function(in black) AND the new function (in any other color).Graph Info: The linear parent function is less steep by a factor of 2 and is shifted down 4 units.