1) Suppose T is a linear transformation of TH=2-3x + x² and T[3] =1-x² T[2¹] and T Determine. R² to 8₂ so that

4. Describe the transformations of y=-2f[3(x– 4)]–5.

6. (10) Is the transformation defined by T(x,х2) Explain. 3D (2х,, Зх, -5х2, —х, + 1) linear?

2 [1], 0₂ = [1] · ₁ = [3], and y₂ = [¯ ] - 5 6 R² be a linear transformation that maps e₁ into y₁ and 19. Let e₁ = T: R² maps e2 into y2. Find the images of [3] -3 and [2]. x2 and let