Find the equation for the parabola that passes through the point (-2,-4), with vertex at (3,1) and a vertical axis
1 answer:
Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (3, 1), hence
y = a(x - 3)² + 1
To find a substitute (- 2, - 4) into the equation
- 4 = a(- 2 - 3)² + 1
- 4 = 25a + 1 ( subtract 1 from both sides )
25a = - 5 ( divide both sides by 25 )
a = - = -
y = - (x - 3)² + 1 ← in vertex form
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Answer:
They can paint 18. 66 sq ft with 3 gallons of paint.
Step-by-step explanation:
Total area painted = 280 sq ft
Total gallons of paint used = 45
So, 45 gallons of paint painted 280 sq ft.
⇒ By UNITARY METHOD,
1 gallon of paint paints sq ft
So, area painted by 1 gallon = 6.22 sq ft
⇒ area painted by 3 gallon = 6.22 sq ft x 3 = 18. 66 sq ft
So, they can paint 18. 66 sq ft with 3 gallons of paint.