Jupiter orbits five times farther from the sun than earth, saturn is twice as far from the sun than jupiter
we have that
the original function 
has the vertex at point 
The transformed function has the vertex at point 
so
the rule of the translation is equal to
That means
The translation is 
units to the left and 
units down
therefore
the answer is
the transformed function is 
1.Rita spent $26.25 on fabric.
2. I know this because...
- First, I subtracted the cost of the ribbon from how much she paid.
· Equation: $50.00 - $18.50 = $31.50
- Second, I subtracted the change received by the reduced cost ($31.50)
· Equation: $31.50 - $5.25 = $26.25
3. So, the final amount of money Rita spent on fabric is $26.25.
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I am 99.9% sure that this is the correct answer. If for some reason my answer is incorrect, I am truly sorry, and please forgive me. Thank You!
The answer is C) (x - 1)2 = 0.5
The equation is
-9 + 12x - 6x² = 0
Multiply the following equation by (-1) on the both sides:
9 - 12x + 6x² =0
Now, we will use the method of completing the square:
ax² + bx + c = 0 ⇒ a(x + d)² + e = 0,
where d = b/2a, e = c - b² / 4a
The quadratic equation is: ax² + bx + c = 0
Our equation is: 6x² - 12x + 9 = 0
so in our equation a = 6, b = -12, c = 9
Now, let's replace it:
d = b/2a = -12/2*6 = -12/12 = -2
e = c - b² / 4a = 9 - (-12)²/4*6 = 9 - 144/24 = 9 - 6 = 3
a(x + d)² + e = 0,
6(x + (-1))² + 3 = 0
6(x - 1)² = 3
(x - 1)² = 3/6
(x - 1)² = 1/2
(x - 1)² = 0.5
