Using laws of exponents,
2 answers:
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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
Answer:
Step-by-step explanation:
= - 4 - 2( - 3) = 2
= - 4 - 2( - 2) = 0
= - 4 - 2( - 1) = - 2
= - 4 - 2( 0 ) = - 4
= - 4 - 2( 1 ) = - 6
Range: { 2, 0, - 2, - 4, - 6 }
