Question

(1) PLAC J(-1, 13) I(8, 10) N(3,8) X(-6, 11) then perform these: (a) Reflect JINX over the y-axis and label J'I'N'X'. Write the rule. (b) T(x, y) --> (x - 8, y - 7) and label J"T"N"X", describe the movement for the translation. (c) (x, y) --> (x, -y) and label J"TN"X" (d) Reflect J"T"N"X" over the line y = -2 and label J""N"X" IV

Answer 1

Given data:

The given coordinate of JINX.

(a)

The expression for the coordinate after reflection over y-axis is,

$(x,\text{ y)= (-x, y)}$

The coordinate of J'I'N'X' is,

$\begin{gathered} J^{\prime}=(1,\text{ 13)} \\ I^{\prime}=(-8,\text{ 10)} \\ N^{\prime}=(-3,\text{ 8)} \\ X^{\prime}=(6,\text{ 11)} \end{gathered}$

Thus, the coordinate of J' is (1, 13), I' is (-8, 10), N' is (-3, 8) and X' is (6, 11).

(b)

The expression for the coordinate of J''I''N''X'' is,

$\begin{gathered} J^{\doubleprime}=(-7,\text{ 6)} \\ I^{\doubleprime}=(-16,\text{ 3)} \\ N^{\doubleprime}=(-11,\text{ 1)} \\ X^{\doubleprime}=(-2,\text{ 4)} \end{gathered}$

Thus, the coordinate of J'' is (-7, 6), I' is (-16, 3), N'' is (-11, 1), and X'' is (-2, 4).