Shifting a Graph Up, Down, Left and Right Worksheet with Answer Key

What's on the worksheet

1. Name each parent graph, describe the move and give where its anchor lands.
   y = x^3 - 4y = \dfrac{1}{x - 3} - 2y = (x + 2.5)^3y = 6 + \sqrt{x - 1}
2. Shift the segments of the graph in the figure and find the new points.
3. Find the x-intercepts and y-intercept of each shifted graph, or say none.
   y = (x + 4)^2 - 9y = \sqrt{x + 9} - 2y = (x - 1)^3 - 8y = (x - 3)^2 + 2
4. Move a quadratic right and up and write the new formula in expanded form.
5. Find the domain, range and highest point of a translated function.
6. Find the shift amounts from a point the graph passes through.
7. Word problem: tide depth at a fishing dock and the same pattern a day later.