# Question Video: Finding the Coordinates of the Vertex of a Quadratic Function Mathematics

Find the coordinates of the vertex of the function π(π₯) = β8π₯ β 6 + 4π₯Β².

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### Video Transcript

Find the coordinates of the vertex of the function π of π₯ equals negative eight π₯ minus six plus four π₯ squared.

First, weβll put the function in standard form, so four π₯ squared minus eight π₯ minus six. The vertex of a function is β, π; β is found by taking negative π and dividing by two π and then π is found by taking π of β, so plugging β into the function.

So β is negative π over two π. Four is π, negative eight is π, and negative six is π. So we have negative one times negative eight divided by two times four, which is eight over eight which is one. So β is one.

So π is equal to π of β. And since β is one, letβs plug in one. So we have four times one squared minus eight times one minus six, which is negative 10. Therefore, the coordinate of the vertex is one negative 10.