Two groups of school children had their forearm lengths measured. Dot plots are provided showing these results. a
Group Y. There were 6 children who had a forearm length that measured longer than 12 inches.

b
Group X. There were 4 children who had the lowest forearm length of 10 inches in this group.

c
Group X. None of the children in this group had a forearm length longer than 12 inches.

d
Group Y. One child in this group had the smallest forearm length of 10 inches.

Stament a, b, and c are correct.

Statement d is INCORRECT.

Step-by-step explanation:

Based on the dot plots given, the following statements are true and correct:

✔️Statement A is correct

Rationale: in the dot plot representing group Y, there are 6 dots on number 13. These shows that 6 children have an arm length of 13 inches. This means that there are actually 6 children who had a forearm length that measured longer than 12 inches.

✔️Statement b is correct:

Rationale: the lowest forearm length displayed on the dot plot for group X is 10 inches, represented by 4 dots.

✔️Statement c is correct:

Rationale: the dot plot for group X shows that the maximum arm length recorded for group X was 12 inches. Therefore no child in group X has a forearm length that is longer than 12 inches.

❌Statement d is NOT CORRECT

Rationale: the dot plot for group Y shows that 2 children had the smallest forearm length of 11 inches.

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.