To find the number of daisies in the flower garden, we first establish the ratio of tulips to daisies. The problem states that there are 4 tulips for every 8 daisies, which simplifies to:
\[ \frac{4 \text{ tulips}}{8 \text{ daisies}} = \frac{1 \text{ tulip}}{2 \text{ daisies}} \]
This indicates that for every 1 tulip, there are 2 daisies.
Now, we know that there are 32 tulips in the garden. We'll use the established ratio to determine the number of daisies corresponding to these tulips.
Given that each tulip corresponds to 2 daisies, we can calculate the total number of daisies as follows:
\[ \text{Number of daisies} = \text{Number of tulips} \times 2 \] \[ \text{Number of daisies} = 32 \times 2 = 64 \]
Thus, the total number of daisies in the flower garden is:
\[ \boxed{64} \]