Answer:
directrix: y = -1/2; focus = (0,1/2)
Step-by-step explanation:
rewrite in standard form:
2y = x^2
factor 4
4 * (y/2) = x^2
rewrite as
4 * 1/2 ( y - 0 ) = (x - 0 )^2
therefore
(h,k) = (0,0) , p = 1/2
directrix is line || to x-axis, distance - p from the center (0,0) y-coordinate (of the parabola)
y = 0 - p
y = 0 - 1/2
y = -1/2
now for the focus!
the focus is distance p from center (0,0) along y-axis --> (0, 0+p)
therefore
(0,0+1/2)
(0,1/2) is the focus!
Two equivalent fractions to represent the part of the migration a monarch butterfly can complete in 1 week is
or
.
<h3>What is a fraction?</h3>
A fraction is a mathematical expression that shows the relationship between parts vs total. In a fraction, the part is written first and it is known as the numerator. On the other hand, the total is written below and it is known as the denominator.
<h3>How to write a fraction?</h3>
Here are the steps to write a fraction:
- Find the total.
- Find the part.
- Write the fraction.
Based on this, in the chart, the part of the migration these butterflies can complete in a week are the squares in green, while the total is the total squares. This means the fraction for this situation is:
Moreover, you can simplify this fraction and find an equivalent one by dividing the denominator by the numerator as:
Note: This question is incomplete because there is a missing image; below I attach the missing section.
Learn more about fractions in: brainly.com/question/1301963