Given:
There are given the equation:
[tex]f(x)=x^2[/tex]
Explanation:
According to the concept:
If we translate 8.5 units to left, that means we need to add 8.5 with x.
So,
[tex]\begin{gathered} f(x)=x^2 \\ f(x+8.5)=(x+8.5)^2 \end{gathered}[/tex]
Then,
Vertically stretched by a factor 3 means, we need to multiply 3 with the entire function.
So,
[tex]f(x)=3(x+8.5)^2[/tex]
And,
Translate 7 units down means, we need to subtract 7 from entire function:
So,
[tex]f(x)=3(x+8.5)^2-7[/tex]
Final answer:
Hence, the formula is function is shown below:
[tex]f(x)=3(x+8.5)^{2}-7[/tex]
