Question

Find an equation in standard form of the parabola through the points.
(1, -4) (2, -3) (3, -4)

Answer 1

can you pinpoint the vertex?

Answer 2

\[y=ax ^{2}+bx+c << parabola standard form \]
Then solve the equations (They are coming from substituting the points in the standard form)
\[-4=a+b+c, -3=4a+2b+c, -4=8a+3b+c\].

Answer 3

If you try it , Then I will check your answers :)

Answer 4

Nayef way is Robotic AND Alyssa's way is "intuitive" and smart. I go with Alyssa. If you plot the points then you can trace the graph of the parabola

Answer 5

you can tell easily its vertex and then write its vertex form