In Exercises 35–42, find the vertex, focus, and directrix of each...

Question

In Exercises 35–42, find the vertex, focus, and directrix of each parabola with the given equation. Then graph the parabola.(x - 2)^2 = 8(y - 1)

Accepted Answer

Using the provided equation bind the Parabola's vertex focus and directs then graph the Parabola where we have X minus seven squared equals 12 multiplied by Y minus three. And we have three possible graphs right here or none of them as our answers not to solve this, we will make use of the general form of a Parabola. That general form of a vertically oriented parabola is X minus H squared equals four A multiplied by Y minus K. We can first find our vertex A vertex is given by the point H K between us. Our page is seven and our K is three. Our focus then or a vertically oriented para is H A plus A as a point. We know our age is seven and we have K plus A which will be three plus A. Let's find our A, we know this four, a multiplies Y minus K in our problem 12 multiplies our Y, we will say four A equals 12 which gives us A equals three. So in our focus equation, we will add three at the end, our focus is in the 0. Alric, then will be the opposite direction with a of our focus. So our directs will be Y equals K minus A. Our K is three, our A is three. That means we get Y equals zero. We had metrics, Y equals zero. Focus 76 vertex 73. If we look at our graphs, our answer turns out to be answer C OK. I hope to help you solve the problem. Thank you for watching. Goodbye.

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In Exercises 35–42, find the vertex, focus, and directrix of each parabola with the given equation. Then graph the parabola.(x - 2)^2 = 8(y - 1)

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