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satela [25.4K]
3 years ago
8

Parabola passes through the points (0,5), (1,4), and (2,5). What function does the graph represent?

Mathematics
1 answer:
AfilCa [17]3 years ago
7 0

Answer:

x^2 - 2x + 5 = 0.

Step-by-step explanation:

The (0, 5) is the point where the parabola passes through the y axis (where x = 0), so we can write the equation as

y = ax^2 + bx + 5   where a and b are constants to be found.

Also, since (1, 4) and (2, 5) are points on the curve, substituting, we have the system:

a(1)^2 + 1b + 5 = 4

a(2)^2 + 2b + 5 = 5

Simplify these 2 equations:

a  + b  =  -1  .................(1)

4a + 2b = 0..................(2)

Multiply the first equation by -2:

-2a - 2b = 2 .................(3)

Add (2) + (3):

2a = 2

a = 1.

Substitute a = 1 into (2):-

4*1 + 2b = 0

2b = -4

b = -2.

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3 years ago
Which of the following is the inverse of N(r) if N(r)=8r+17
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3 years ago
20 POINTS N BRAINLIEST!!16.Alun has a part-time job working as a bus boy at a
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Answer:

a)E=.05t +34

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c)$600

Step-by-step explanation:

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hoped this helped:)

3 0
3 years ago
Write the equation of the line represented by the following table
s344n2d4d5 [400]

Answer:

y = 100x + 400

Step-by-step explanation:

The equation of a line in slope- intercept form is

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4 0
3 years ago
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