Answer:
a) g(x) = f(x) + 3
So g(x) is a vertical translation of f(x), 3 units upwards
b) g(x) = 3x² - 1 + 3
g(x) = 3x² + 2
The graph has shifted 3 units upwards, so has the vertex.
The vertex of f is (0,-1)
Whereas the vertex of g is (0,2)
-1 + 3 = 2
One moment, i wills answer soon working on it
Answer:
c. has 12 hours of day and 12 hours of night for all locations
Step-by-step explanation:
The equinox is the time of the year marked by a nearly equal length of day and night. This word has a Latin root meaning which stands for equality, hence the word 'equinox'. It usually falls on March 21, and September 23 of every year. On these days the sun is above the equator.
The equinox which occurs around September happens in the Northern Hemisphere and is also known as the Fall or Autumnal equinox. Whereas, the equinox which occurs at the Southern Hemisphere is also known as the Spring or Vernal equinox. During an equinox, the tilt of the earth is perpendicular to the sun.
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
c=1/4
Decimal Form:
c=0.25