Question

Describe what transformations of the quadratic parent function of g(x)=2(x-3)^2

Answer 1

Answer: There is a horizontal shift of 3 units to the right and a vertical stretch by a factor of 2.

Step-by-step explanation: The (x-3) shifts the graph three units right, think of as for (x)=0 x has to be 0, and for (x-3)=0 x has to be 3, which is 0+3. The vertical stretch multiplies everything by 2, so it should make sense that it's a vertical stretch by a factor of 2.

Answer 2

• d/dx (2(x-3)²)

=>d/dx (g(x)) = 4x - 12

• g(x)=2(x-3)²

=> g(x)=2(x-3)² and d/dx (g)(3) = 0

=> x = 3 <is the smallest answer>

P/s: I'm not sure

Ok done. Thank to me :>