Answer:
The equation is y = a(x - h)^2 + k. The transformation can be written as y = a(x - (-1))^2 + (10 - 5) or y = a(x + 1)^2 + 5, where h = -1 is the horizontal shift of 1 unit to the right, k = 10 - 5 = 5 is the vertical shift of 5 units down.
The equation is y = a(x - h)^2 + k. The transformation can be written as y = a(-2(x - 0))^2 + 3 or y = 4a(x - 0)^2 + 3, where h = 0 is the horizontal shift of 0 units, k = 3 is the vertical shift of 3 units up, and a is the stretch factor of 2.
The equation is y = a(x - h)^2 + k. The transformation can be written as y = a(1/3(x - 7))^2 + 0 or y = (a/9)(x - 7)^2, where h = 7 is the horizontal shift of 7 units to the left, k = 0 is the vertical shift of 0 units, and a is the shrink factor of 1/3.
The equation is y = a(x - h)^2 + k. The transformation can be written as y = a(x - (-4))^2 + 3 or y = a(x + 4)^2 + 3, where h = -4 is the horizontal shift of 4 units to the right, k = 3 is the vertical shift of 3 units up.
The equation is y = a(x - h)^2 + k. The transformation can be written as y = -a(x - 11)^2 + 0 or y = -a(x - 11)^2, where h = 11 is the horizontal shift of 11 units to the left, k = 0 is the vertical shift of 0 units, and the reflection over the x-axis is represented by the negative sign.
The equation is y = a(x - h)^2 + k. The transformation can be written as y = a(x - 0)^2 - 4 or y = a(x)^2 - 4, where h = 0 is the horizontal shift of 0 units, k = -4 is the vertical shift of 4 units down, and the shrink factor is missing.
The equation is y = a(x - h)^2 + k. The transformation can be written as y = -a(x - (?))^2 - 8 or y = -a(x - (?))^2 - 8, where the horizontal shift and reflection over the x-axis are represented by the negative sign, and the values of h and the shrink factor are missing