Question

Let g(x) be a parent function.Let the transformation of g be f(x)=-2*g(x+2).
Graph the transformation f(x)on the right.

Answer 1

Answer:

  See attached

Step-by-step explanation:

You want the graph of the parent square root function g(x) = √x after it has been reflected over the x-axis, stretched vertically by a factor of 2, and translated left 2 units.

Graph

The transformation ...

  f(x) = -c·g(x -h)

represents a vertical stretch by a factor of 'c' and a translation to the right by 'h' units. The minus sign on 'c' means there is also a reflection over the x-axis.

The function f(x) = -2g(x+2) means the parent function has been ...

• reflected over the x-axis
• vertically stretched by a factor of 2
• translated left by 2 units.

The attached graph shows the result.