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Write the quadratic equations as transformations from y=Label each part of the description as a, h, or ...

10, Translate 1 unit to the right and 5 units down
11, Stretch by a factor of 2. reflect across the x-ads, and translate 3 units up
12. Shrink by a factor of 1/3 and translate 7 units to the left
13. Shift to the right 4 and up 3
14. Reflect over the x-axis and shifted left 11.
15. Move down 4 and shrunk by %
16. Reflect over the x-axis, shift left ? and down 8.

User Mikel
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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

User Danny Bevers
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