00:01
So in this problem, we're given a quadratic equation, the graph of a quadratic equation, or a parabola, and we're asked to identify several things about this quadratic equation.
00:11
So first of all, we are asked to find the vertex.
00:14
So the vertex of a parabola is the point in which it changes direction.
00:20
This point is either going to be a minimum or a maximum point.
00:23
In our case, it's a minimum point lying at negative 2, negative 1.
00:28
Negative 2 in the x direction negative 1 in the y direction that's the vertex of our parabola next we are asked to find the y intercept of the parabola the y intercept is where my graph crosses or intercepts the y axis so in that case that's right here at zero comma three zero in the x direction three in the y direction i am then asked to identify the x intercepts let me change colors my x intercepts are those points in which the parabola intercepts or touches or cross the x -axis, which in this case, i have two different x intercept.
01:04
So i'm going to have two different points.
01:06
One at negative 3 -0 and another one at negative 1 -0, because i go left 3 and left 1, and then up or down 0.
01:17
So then it says, given those x -intercepts, negative 3 -0, negative -10, i'm asked to write an equation for the parabola in factored 4...