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Anuta_ua [19.1K]
3 years ago
6

HELP ASAP PLEASE & SHOW UR WORK!!! THANK YOUU <3

Mathematics
1 answer:
Monica [59]3 years ago
3 0

Answer:

<h3>             f(x) = -3x² + 7x + 1</h3>

Step-by-step explanation:

When parabola f(x) = ax² + bx + c passes through point (x₁, y₁) that means if x=x₁ then f(x)=f(x₁)=y₁

(0, 1) ⇒   1=a·0²+b·0+c    ⇒   c=1

f(x) = ax² + bx + 1

(1, 5)  ⇒  5 = a·1² + b·1 + 1  

               5 =  a + b + 1

               -b = a - 4

               <u> b = - a + 4</u>

(2, 3)  ⇒  3 = a·2² + b·2 + 1

               3 = 4a + 2b + 1

              -2b = 4a - 2

                 <u>b = - 2a + 1</u>

- a + 4 = - 2a + 1  

a = - 3

b = -(-3) + 4 = 7

So the equation:

                       <u>  f(x) = -3x² + 7x + 1</u>

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