According to the "Big Transformation Theorem" which of the following transformations would scale the graph of y = f(x)vertically by a factor of , reflect it over the x-axis, and shift it upward by ? %3D 6.

When examining the formula of a function that is the result of multiple transformations, how can you tell a reflection with respect to the x-axis from a reflection with respect to the y-axis?

When examining the formula of a function that is the result of multiple transformations, how can you tell a horizontal shift from a vertical shift?

Graph the quadratic function f(x)=2x24x3 first using the properties as we did in the last section and then graph it using transformations. Which method do you prefer? Why

Choose only 2 of the following transformations and sketch a graph (a) y f(x-2) (c) y = 2f(x) - (b) y = f(x)-2 (d) y = f(x) +3 y f 2 0 2 X

how would you find the equation of the transformed function?

The following image shows the graph of the function y = f(x) what is the new location of point A(-1,3) after the function undergoes the transformation y=(1/10) f(x)? Answer options are 1. (-1,3.8) 2. (-1,2.9) 3. (-1,0.3) 4. (-1,0.8) 5. None of the above

3. A parabolic road (C) that leads to the commercial district of a neighbourhood is modelled by y=2(x-2)2-2 . A primary road (P) to the community is modelled by the function y=-2x+6. a) Graph the parabolic road y=2(x-2)2-2, using transformations. Please make the final graph darker/ thicker to clearly distinguish it is the final graph. b) Graph the primary road y=-2x+6 using slope y-intercept form. Label it P. c) State the coordinates where the two roads intersect