Write a quadratic function, in standard form, that fits the set of points. solve it as a system of three equations. (-4, 9), (0, -7), and (1, -1)

Step-by-step explanation:

Let the quadratic function be

We substitute into the equation to obtain;

We substitute to obtain;

We finally substitute to obtain;

We put equation (2) into equation (1) to get;

We add equation (4) and (5) to get;

We put into equation (5) to get;

The reqiured quadratic function is

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

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