Find the equation of the parabola that passes through the points:
(0,5) (1,7) and (-2,19)

The equation of the parabola is:

Step-by-step explanation:

The standard form of a parabola is given as:

The three points on the parabola are (0,5), (1,7), and (-2,19).

Plug in the three points and find three equations in a,b and c

Using point (0,5) in the equation, we get

Using point (1,7) in the equation, we get

Using point (-2,19) in the equation, we get

Plug in the value of c=5 in the last two equations. This gives,

Now, add the two new equations. This gives,

Now, plug in in equation 4 gives,

Therefore, the equation of the parabola is:

the answer is 28

step-by-step explanation:

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!