Question

write the answers and show the graph of the points mentioned. 1.36 points a and a have symmetry with respect to the y - axis. find the coordinates of a: a. when a is (-2,1) ______ b. when a is (-3,-3) ____ c. when a is (4,2) ____ d. when a is (3,-1) ______

Explanation:

Step1: Recall the rule for y - axis symmetry

For a point $(x,y)$ symmetric about the y - axis, the new point is $(-x,y)$.

Step2: Find the symmetric point for part a

Given $A=(-2,1)$, using the rule $(-x,y)$, we get $A'=(2,1)$.

Step3: Find the symmetric point for part b

Given $A = (-3,-3)$, using the rule $(-x,y)$, we get $A'=(3,-3)$.

Step4: Find the symmetric point for part c

Given $A=(4,2)$, using the rule $(-x,y)$, we get $A'=(-4,2)$.

Step5: Find the symmetric point for part d

Given $A=(3,-1)$, using the rule $(-x,y)$, we get $A'=(-3,-1)$.

Answer:

a. $(2,1)$
b. $(3,-3)$
c. $(-4,2)$
d. $(-3,-1)$