The transformation of a function `f(x)` into a function `g(x)` is given by `g(x)=Af(Bx+H)+K`.

where the constants
  • `A` vertically scales the function by a multiplier of A. (Negative A reflects the function about the x-axis.)
  • `B` horizontally scales the function by a multiplier of 1/B. (Negative B reflects the function about the y-axis.)
  • `H` horizontally shifts the function by H units. (Negative H shifts the function to the right.)
  • `K` vertically shifts the function by K units. (Negative K shifts the function down.)
Transform `f(x)` into `g(x)` where the transformation is `g(x) = f(-x)`

The function `f(x)` is shown below in red. Graph the transformed function `g(x)` by first placing a dot at each end point of the new transformed function and then click on the "line segment" button and connect the two blue dots.

Hint: Transform the function by applying the constants in this order: H, B, A, K. First place the two blue dots by shifting the function by H units. Then move the two blue dots by using a multiplier of 1/B. Likewise, continue for A and K. Finally connect the final position of the blue dots with the line segment.

Clear All Draw: DotLine Segment