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

Question 1086368: 13.
State the various transformations applied to the base function �(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) (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.

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SOLUTION: 13. State the various transformations applied to the base function �(x) = x2 to obtain a graph of the function g(x) = &#8722;2[(x &#8722; 1)2 + 3]. a. A reflection about the

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