To find the location of the value \( A - B + C \), we first substitute the values of points A, B, and C:
- \( A = -\frac{1}{2} \)
- \( B = \frac{1}{4} \)
- \( C = \frac{3}{4} \)
Now, we can compute \( A - B + C \):
\[ A - B + C = -\frac{1}{2} - \frac{1}{4} + \frac{3}{4} \]
First, we calculate \( -\frac{1}{2} - \frac{1}{4} \):
To subtract these fractions, we need a common denominator. The least common denominator of 2 and 4 is 4.
Convert \( -\frac{1}{2} \) to a fraction with a denominator of 4:
\[ -\frac{1}{2} = -\frac{2}{4} \]
Now we can substitute this back:
\[ -\frac{2}{4} - \frac{1}{4} = -\frac{3}{4} \]
Next, we add \( \frac{3}{4} \):
\[ -\frac{3}{4} + \frac{3}{4} = 0 \]
Thus, the value of \( A - B + C \) is \( 0 \).
The answer is:
A. 0.