WORTH 50 POINTS NEED HELP ASAP
1 answer:
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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
For proportionality constant problems, set up the equation as,
,
Where x and y are the two variables you are comparing and <em>K </em>is the proportionality constant. If we take <em>Caramel Corn </em>values as x and <em>Cheddar Corn </em>values as y, and then solve for <em>K </em>for each ratio lines, we will get the same answer. Let's check.
,
, and
.
Hence, the proportionality constant, in this case <em>K,</em> is equal to or 1.5. First answer choice is correct.
ANSWER: 1.5