The parent function f(x) = x^2 is vertically stretched by a scale factor of 2, translated 14 units right, and 6 units up. Which equation below represents the new equation? 1. G(x) = 2(x-14)^2 + 6 2. G(x) = 1/2 (x-14)^2 = 6 3. G(x) = 2(x-14)^2 - 6 4. G(x) = 2(x+14)^2 + 6

Step-by-step explanation:

Assuming, right and up are positive directions.

The given parent function,

Let be the function when the parent function is stretched by a scale factor of 2.

So,

Let be the function when is translated units right.

So,

Again, let be the function when is translated 4 units up.

So,

So, the resulting function, .

Hence, option (1) is correct.

d

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~coco