The coordinates of a quadrilateral are (5, 8), (7, 10), (9, 12), and (11, 14). After a transformation, the sign of the x-coordinate for each ordered pair has changed. Which type of transformation occurred?

A) (x, y)→(x + 2, y + 2)
B) dilation; (x + 2), (y + 2)
C) reflection across the y-axis
D) reflection across the x-axis

Given:

1st point (5,8)

2nd point (7,10)

3rd point (9,12)

4th point (11,14)

After transformation, the sing of the x-coordinate for each ordered pair has changed. From positive, it becomes negative. However, the sign of the y-coordinate is assumed to retains its original sign.  

From positive x and positive y to negative x and positive y, this is C. REFLECTION ACROSS THE Y-AXIS.

Step-by-step explanation:

The answer is C) Reflection across the y-axis

Step-by-step explanation:

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is