Question

Describe each transformation coordinates of four points on e(x)=(2)/(3)(x+5)^(3)-1

Answer 1

To describe the transformation coordinates of four points on the equation y = (2/3)(x + 5)^3 - 1, substitute the x-coordinates into the equation and find the corresponding y-coordinates. The transformation coordinates for the four points on the given equation are (1, 143), (2, 227.67), (3, 340.33), and (4, 485).

Step-by-step explanation:

The given equation is y = (2/3)(x + 5)^3 - 1. To describe the transformation coordinates of four points, we need to substitute the x-coordinates of those points into the equation and find the corresponding y-coordinates.

1. For the point (1, 5):
   Substitute x = 1 into the equation:
   y = (2/3)(1 + 5)^3 - 1
   y = (2/3)(216) - 1
   y = 144 - 1
   y = 143
2. For the point (2, 10):
   Substitute x = 2 into the equation:
   y = (2/3)(2 + 5)^3 - 1
   y = (2/3)(343) - 1
   y = 228.67 - 1
   y = 227.67
3. For the point (3, 7):
   Substitute x = 3 into the equation:
   y = (2/3)(3 + 5)^3 - 1
   y = (2/3)(512) - 1
   y = 341.33 - 1
   y = 340.33
4. For the point (4, 14):
   Substitute x = 4 into the equation:
   y = (2/3)(4 + 5)^3 - 1
   y = (2/3)(729) - 1
   y = 486 - 1
   y = 485

Therefore, the transformation coordinates for the four points on the given equation are (1, 143), (2, 227.67), (3, 340.33), and (4, 485).