Question

Si tenemos el punto p(-2,3)y una traslación ta de h=3 otra traslación. Tb de n=3 y m=5 halle ta por tb sobre p hacer grafica

Answer 1

The final position of point P(-2,3) after the translations Ta with h=3 and Tb with n=3, m=5 is (4,8) on the Cartesian plane.

Step-by-step explanation:

The question involves applying two translations to a given point on the Cartesian plane. The point we are given is P(-2,3). The first translation, Ta, has a horizontal shift (h) of 3 units, which will move the point 3 units to the right. The second translation, Tb, is not entirely clear from the question, but it seems to involve a horizontal shift (n) of 3 units and a vertical shift (m) of 5 units.

To calculate the composite transformation of Ta followed by Tb on point P (-2,3), we perform each transformation step-by-step:

1. Apply Ta to P, which gives us a new point P' by adding 3 to the x-coordinate of P: P' = P + (3,0) = (-2+3,3+0) = (1,3).
2. Next, apply Tb to point P', which involves adding 3 to the x-coordinate and 5 to the y-coordinate: P'' = P' + (3,5) = (1+3,3+5) = (4,8).

The final position of point P after the composite translation Ta followed by Tb is (4,8).