Question

Hi, I need help with this equation. The last tutor I asked I was following the work but my phone died. So I need help step by step again :/.

Answer 1

Given:

There are given the equation:

`f(x)=x^2`

Step-by-step explanation:

According to the concept:

If we translate 8.5 units to left, that means we need to add 8.5 with x.

So,

`\begin{gathered} f(x)=x^2 \\ f(x+8.5)=(x+8.5)^2 \end{gathered}`

Then,

Vertically stretched by a factor 3 means, we need to multiply 3 with the entire function.

So,

`f(x)=3(x+8.5)^2`

And,

Translate 7 units down means, we need to subtract 7 from entire function:

So,

`f(x)=3(x+8.5)^2-7`

Final answer:

Hence, the formula is function is shown below:

`f(x)=3(x+8.5)^(2)-7`