SOLUTION: A parabola has a y-intercept of -4 and passes through the points (-2, 8) and (1, -1). Determine the vertex of the parabola.

Question 1186906: A parabola has a y-intercept of -4 and passes through the points (-2, 8) and (1, -1). Determine the vertex of the
parabola.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

A parabola has a y-intercept of =>(,) =>
and passes through the points (, ) and (, ).
Determine the vertex of the parabola.
use the vertex form of a quadratic equation:
........use given point (, ) and intercept
......solve for

........eq.1

........use given point (, ) and intercept

...........eq.2
from eq.1 and eq.2 we have
..........solve for
.....simplify

solutions:

or
=>=>
the vertex of the parabola is at (,) or (,)

go to ........eq.1, substitute
if

or
if

so, your parabola is:

let's see both solutions on the graph:
1.

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