THANK YOUU <3 Write the equation, in standard form, of the parabola containing the following points:
(0, 1), (1, 5), (2, 3)

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

                b = - a + 4

(2, 3)  ⇒  3 = a·2² + b·2 + 1

               3 = 4a + 2b + 1

              -2b = 4a - 2

                 b = - 2a + 1

- a + 4 = - 2a + 1  

a = - 3

b = -(-3) + 4 = 7

So the equation:

                         f(x) = -3x² + 7x + 1

518,400

step-by-step explanation:

the area is multiplying all the given measurements together.

40 * 18 * 30 * 24 = 518,400

there are no short passages to look at