Question

A quadratic function passes through the points (-1,3), (2, - 4) and (5, 4). Which of the system of equations below could

Answer 1

$\large{y=a\cdot x^2\ +\ b\cdot x\ +\ c}$

Step-by-step explanation:

just plug in the x and y values of each point in the above equation and you will get a system of 3 equations for a, b, and c.

• $(-1,3) \ \rightarrow \ \bold{\ \ 3=\ \ a-\ \ b+c}$
• $(2,-4) \ \rightarrow \ \bold{-4=4a+2b+c}$
• $(5,\ 4)\ \ \rightarrow \ \bold{\ 4=25a+5b+c}$