Atriangle undergoes a sequence of transformations. first, the triangle is dilated by a scale factor of 1/3 about the origin. then the triangle is reflected over the x-axis. finally, the triangle is translated left 3 units and up 2 units. how does the image triangle compare to the pre-image triangle? explain.

The image of the triangle undergoes a transformation: (x, y) ⇒ [-(1/3)y - 3, (1/3)x + 2]

Transformation is the movement of a point from its initial location to a new location. Types of transformation include translation, reflection, rotation and dilation.

If a point A(x, y) is dilated by a factor k, the new point is at A'(kx, ky).

If a point A(x, y) is reflected over the x-axis, the new point is at A'(x, -y).

If a point A(x, y) is translated a units left and b units up, the new point is at A'(x - a, y + b).

The image of the triangle undergoes a transformation: (x, y) ⇒ [-(1/3)y - 3, (1/3)x + 2]

Find out more on transformation at: link

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17

  answer:

  write 548 as 500 + 40 + 8. multiply each addend by 5. then add the three products to get 2,740.