Respuesta :
Answer:
The coordinates of [tex]P^\prime[/tex] would be [tex](3,\, 0)[/tex].
Step-by-step explanation:
The two points [tex]P[/tex] and [tex]P^\prime[/tex] are on a Cartesian plane.
By convention, the positive [tex]x[/tex]-axis on a Cartesian plane points to the right. As a result,
- Moving a point to the right by [tex]a[/tex] units is the same as adding [tex]a[/tex] to its [tex]x[/tex]-coordinate. If the point was initially at [tex](x_0,\, y_0)[/tex], it would be moved to [tex](x_0 + a,\, y_0)[/tex].
- Moving a point to the left by [tex]a[/tex] units is the same as subtracting [tex]a[/tex] from its [tex]x[/tex]-coordinate. If the point was initially at [tex](x_0,\, y_0)[/tex], it would be moved to [tex](x_0 - a,\, y_0)[/tex].
Also by convention, the positive [tex]y[/tex]-axis on a Cartesian plane points upwards. Similarly,
- Moving a point upwards by [tex]b[/tex] units is the same as adding [tex]b[/tex] to its [tex]y[/tex]-coordinate. If the point was initially at [tex](x_0,\, y_0)[/tex], it would be moved to [tex](x_0,\, y_0 + b)[/tex].
- Moving a point downwards by [tex]b[/tex] units is the same as subtracting [tex]b[/tex] from its [tex]y[/tex]-coordinate. If the point was initially at [tex](x_0,\, y_0)[/tex], it would be moved to [tex](x_0,\, y_0 - b)[/tex].
In this case,
- Point [tex]P[/tex] was initially at [tex](5, -5)[/tex].
- [tex](5, -5)[/tex] is at [tex](5 - 2, \, -5)[/tex] after it is moved to the left by [tex]2[/tex] units. That's the same as [tex](3,\, -5)[/tex].
- [tex](3,\, -5)[/tex] is at [tex](3,\, -5 + 5)[/tex] after it is moved upward by [tex]5[/tex] units. That's the same as [tex](3,\, 0)[/tex].
Therefore, the coordinates of [tex]P^\prime[/tex] would be [tex](3,\, 0)[/tex].
Answer:
(3,0)
Step-by-step explanation:
The two points and are on a Cartesian plane. By convention, the positive -axis on a Cartesian plane points to the right. As a result,Moving a point to the right by units is the same as adding to its -coordinate. If the point was initially at , it would be moved to .Moving a point to the left by units is the same as subtracting from its -coordinate. If the point was initially at , it would be moved to .Also by convention, the positive -axis on a Cartesian plane points upwards. Similarly, Moving a point upwards by units is the same as adding to its -coordinate. If the point was initially at , it would be moved to .Moving a point downwards by units is the same as subtracting from its -coordinate. If the point was initially at , it would be moved to .In this case, Point was initially at . is at after it is moved to the left by units. That's the same as . is at after it is moved upward by units. That's the same as .Therefore, the coordinates of would be .
