Find the area bounded by the curve `x^2=4y` and the straight line `x=4y-2.`

Options

A. `3/8"sq units"`
B. `5/8" sq unit "`
C. `7/8 " sq unit"`
D. `9/8" sq units"`

Explanation

To find the area bounded by the curve \( x^2 = 4y \) and the straight line \( x = 4y - 2 \), we will follow these steps:

### Step 1: Find the points of intersection
To find the area between the curve and the line, we first need to determine where they intersect.

1. The curve is given by \( x^2 = 4y \).
2. The line can be rearranged to express \( y \) in terms of \( x \):
\[
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