Question

I’m confused with this and how to start I need a little help.

Answer 1

A reflection over the y-axis

An horizontal translation of 5 units to the right

A vertical stretch of 2

A vertical translation of 3 units up

Step-by-step explanation:

`\begin{gathered} \text{Parent function: }\sqrt[]{x} \\ A\text{ reflection over the y ax is: (x, y) }\rightarrow\text{ (-x, y)} \\ A\text{ reflection over the y ax is = }\sqrt[]{-x} \end{gathered}`
`\begin{gathered} An\text{ }horizontal\text{ translation of 5 units to the right: } \\ y\text{ = f(x) - d, where d = 5} \\ \text{ }A\text{ translation of 5 units to the right = }\sqrt[]{-x-5} \end{gathered}`
`\begin{gathered} \text{Vertical stretch of 2: enlargement by a scale factor of 2} \\ \text{Vertical stretch of 2 = }2*\text{ }\sqrt[]{-x-5} \\ \text{Vertical stretch of 2 = }2\text{ }\sqrt[]{-x-5} \end{gathered}`
`\begin{gathered} \text{Vertical }Translation\text{ of 3 units up: } \\ y\text{ = f(x) + 3} \\ Translation\text{ of 3 units up = }2\text{ }\sqrt[]{-x-5}\text{ + 3} \end{gathered}`

Transformations on the parent function:

A reflection over the y-axis

An horizontal translation of 5 units to the right

A vertical stretch of 2

A vertical translation of 3 units up