Question

Question 2: Identify the focus. *A. (-2, 2)B. (-2, 5)C. (1, 1)D. (2, 1)

Answer 1

The focus is at;

`(-2,2)`

Step-by-step explanation:

Given the parabola equation;

`(x+2)^2=4(y-1)`

Recall that the standard parabola equation can be written as;

`\begin{gathered} (x-h)^2=4p(y-k) \\ \text{where the focus is at;} \\ f=(h,k+p) \end{gathered}`

For the given equation;

`\begin{gathered} h=-2 \\ k=1 \\ p=1 \end{gathered}`

so, the focus would be;

`\begin{gathered} f=(h,k+p) \\ f=(-2,1+1) \\ f=(-2,2) \end{gathered}`

Therefore, the focus is at;

`(-2,2)`