00:01
Okay, in this question you were given the quadratic equation, y equals 2x squared minus 12x, minus 9.
00:08
You're supposed to find the axis of symmetry, find the vertex, and the maximum amount value.
00:14
I'm starting this question by writing out y equals a x squared plus bx plus c.
00:22
That is what is called standard form of a quadratic equation.
00:26
I wrote that down so that you can see the a, b, and c values.
00:31
To start finding the axis of symmetry, we need to know a formula for the axis of symmetry from standard form.
00:39
And that formula is x equals negative b over to a.
00:46
And all we need to do to get the axis of symmetry is plug in our values from standard form.
00:52
The b is the negative 12.
00:55
So since the formula already has a negative we would have negative times negative 12 over two times a and a is two that's going to lead us to 12 over four or three so the actual axis of symmetry equation is x equals three now the next part of this question asks you to find the vertex well the vertex is an ordered pair x y of the of the of a specific point on the graph.
01:38
It's like the turning point of the graph.
01:40
So let's talk about the graph for a minute.
01:43
If you have a quadratic equation, they are going to look like this.
01:51
Now, i am drawing a graph of the parent function quadratic formula or quadratic equation.
02:01
And our graph, you know, that graph is not necessarily the graph for this problem.
02:08
However, in a parabola shape, we have this turning point that we call a vertex.
02:14
That thing is called a vertex.
02:16
And that is what we are finding or asked to find for our graph...