Answer:
Step-by-step explanation:
As per question there are 3 points on the curve:
- (1, 0), (5, 0) and (0, 5)
Substitute the x- and y- values into equation and find the values of a, b and c.
x = 0, y = 5
- 5 = a*0² + b*0 + c
- 5 = c
- c = 5
x = 1, y = 0
- 0 = a*1² + b*1 + 5
- a + b = - 5 (1)
x = 5, y = 0
- 0 = a*5² + b*5 + 5
- 25a + 5b = - 5
- 5a + b = - 1 (2)
Subtract the equations 1 and 2:
- 5a - a + b - b = - 1 - (- 5)
- 4a = 4
- a = 1
Now find the value of b:
- 1 + b = - 5
- b = - 5 - 1
- b = - 6
The equation of the curve is:
