Answer:
y = - (x - 1)² + 2
Step-by-step explanation:
Any point (x, y) on the parabola is equidistant from the focus and the directrix.
Using the distance formula
= | y - 6 |
Square both sides
(x - 1)² + (y + 2)² = (y - 6)² ( expand the factors in y )
(x - 1)² + y² + 4y + 4 = y² - 12y + 36 ( subtract y² - 12y from both sides )
(x - 1)² + 16y + 4 = 36 ( subtract 4 from both sides )
(x - 1)² + 16y = 32 ← subtract (x - 1)² from both sides )
16y = - (x - 1)² + 32 ( divide all terms by 16 )
y = - (x - 1)² + 2
Answer:
Option (A)
Step-by-step explanation:
A set of real numbers is a combination of both rational and irrational numbers.
But the elements in the sets of rational and irrational numbers will be different.
In short, rational and irrational number sets are the two subsets of real numbers.
Hence, the number is an element of either the set of rational numbers or the set of irrational numbers.
Option (A) is the correct option.
Answer:
The answer is Triangle C
Step-by-step explanation: