The focus of the parabola `y=2x^2+x` is a.`(0,0)` b. `(1//2,1//4)` c. `(-1//2,0)` d. `(-1//4,1//8)`

Options

A. `2:1`
B. `3:2`
C. `4:3`
D. `3:1`

Explanation

To find the focus of the parabola given by the equation \( y = 2x^2 + x \), we will follow these steps:

### Step 1: Rewrite the equation in standard form
Start with the given equation:
\[ y = 2x^2 + x \]
We can rearrange this equation to make it easier to analyze. First, we can factor out the coefficient of \( x^2 \):
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