Question

Write an equation of the parabola shown. (0,4) (-5, 1.5)

Answer 1

the general formula of a parabola is

$y=ax^2+bx+c$

we can replace the the points to find a,b and c

First (0,4)

$\begin{gathered} 4=a(0)^2+b(0)+c \\ 4=0+0+c \\ c=4 \end{gathered}$

Then (-5,1.5) and c=4

$1.5=a(-5)^2+b(-5)+4$