Question

it ticket oct 6 - more practice based on the graph determine if each statement is true or false parent is red the graph above represents a translation the functions belong to the cubic family both graphs have a point at the origin the new function has points in quadrant 2 only the graph above represents a reflection over the y - axis the parent function is the green graph the graphs are non - linear the graph above represents a reflection over the x - axis

Explanation:

1. A translation moves a graph without changing its shape or orientation. Since no such movement - only a possible reflection - is evident, this is false.
2. The shape of the graphs does not resemble a cubic function (which has an \(x^{3}\) term and a characteristic S - shaped curve), so this is false.
3. The origin \((0,0)\) is not a point on either graph, so this is false.
4. The new function has points in multiple quadrants, not just Quadrant 2, so this is false.
5. The graph looks like a reflection over the y - axis as the two parts are symmetric about the y - axis, so this is true.
6. The parent is described as red, not green, so this is false.
7. The graphs are curved, so they are non - linear, this is true.
8. There is no indication of a reflection over the x - axis as the graphs do not have an upside - down relationship, so this is false.

Answer:

1. False
2. False
3. False
4. False
5. True
6. False
7. True
8. False