∆abc is translated 6 units up and 3 units left to create ∆a'b' c. if vertex a is at (-1, 2) and vertex b is at (1, 5), then where is vertex a' at vertex and where is vertex b' at ?

Keep in mind that the positive directions of the two axis are: upwards for the y axis and rightwards for the x axis.

So, translating a point 6 units up means to go 6 units along the positive direction on the y axis. For this reason, the new y coordinate will be 6 units more than the old one.

Similarly, going 3 units left means to decrease by 3 the x coordinate, because we're following the negative direction.

So, to recap, this transformation maps

This means that the two points become

me

step-by-step explanation:

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.