Assume the parent function has been shifted up and right. Use the graph to complete the statements. The vertical shift is square unit up. The horizontal shift is square units right. DONE

Question

Question

Assume the parent function has been shifted up and right. Use the graph to complete the statements. The vertical shift is square unit up. The horizontal shift is square units right. DONE

Answer 1

To determine the vertical and horizontal shifts of the function based on the given information, we need to identify the key characteristics of the function's graph.Step 1: Identify the vertical shiftSince the function is an odd function and symmetric about the x-axis, the vertical shift can be determined by looking at the range of the function. The range is given as (-2, 2), which means the midpoint of the range is at 0. If the function has been shifted up, the midpoint of the range would no longer be at 0. However, since we do not have the exact value of the vertical shift, we cannot determine the exact number of units the function has been shifted up without additional information. Therefore, we cannot complete the statement for the vertical shift with the given information.Step 2: Identify the horizontal shiftThe function is symmetric about several vertical lines: x = -1.8, x = -0.8, x = 0.8, and x = 1.8. These lines of symmetry suggest that the function has a period that is a multiple of these x-values. Since the function is periodic and odd, the horizontal shift can be determined by looking at the lines of symmetry. If the parent function is symmetric about the y-axis (x = 0), then the horizontal shift would be the distance from the y-axis to the nearest line of symmetry.Given that the function is symmetric about x = -1.8, x = -0.8, x = 0.8, and x = 1.8, we can infer that the function has been shifted to the right by the smallest positive value of these x-values, which is 0.8.Therefore, the horizontal shift is 0.8 units right.Final Answer:The vertical shift cannot be determined with the given information.The horizontal shift is 0.8 units right.

Question

Assume the parent function has been shifted up and right. Use the graph to complete the statements. The vertical shift is square unit up. The horizontal shift is square units right. DONE

Answer

Answer

Hot Questions