Question

In two or more complete sentences, identify the parent function, and describe the transformations that were applied to
obtain the graph. f(x) equals 2x+6+3

Answer 1

Answer:

Step-by-step explanation:

Transformed of the function has been given as,

f(x) = $\sqrt{(2x+6)}+3$

     = $\sqrt{2}(\sqrt{x+3})+3$

Parent function of this transformed function = $\sqrt{x}$

Vertical stretch = By a factor of $\sqrt{2}$

Horizontal shift = 3 units to the left

Vertical shift = 3 units up

Now we can summarize these transformations as,

1). Parent function g(x) = $\sqrt{x}$ has been vertically stretched by a factor of $\sqrt{2}$

2). Followed by the translations of 3 units left and 3 units up.