SOLUTION: 13. State the various transformations applied to the base function ƒ(x) = x2 to obtain a graph of the function g(x) = −2[(x − 1)2 + 3]. a. A reflection about the

Algebra ->  Trigonometry-basics -> SOLUTION: 13. State the various transformations applied to the base function ƒ(x) = x2 to obtain a graph of the function g(x) = −2[(x − 1)2 + 3]. a. A reflection about the       Log On


   

Question 1086368: 13.
State the various transformations applied to the base function ƒ(x) = x2 to obtain a graph of the function g(x) = −2[(x − 1)2 + 3].

a. A reflection about the x-axis, a vertical stretch by a factor of 2, a horizontal shift of 2 units to the right, and a vertical shift downward of 6 units.

b A reflection about the x-axis, a vertical stretch by a factor of 2, a horizontal shift of 1 unit to the right, and a vertical shift downward of 6 units.

c A reflection about the y-axis, a vertical stretch by a factor of 2, a horizontal shift of 2 units to the right, and a vertical shift downward of 6 units.

d A reflection about the y-axis, a vertical stretch by a factor of 2, a horizontal shift of 1 unit to the right, and a vertical shift downward of 6 units.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
This is b.
It goes from convex down to convex up, which is a reflection across the x-axis.
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E2%2C-2%28%28x-1%29%5E2%2B3%29%29