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The parabola equation is and the point is .
Since the square term is , the parabola is vertical.
Standard form of the vertical parabola is ,
where is vertex.
Focus .
The parabola equation .
Compare the above equation with .
Since is positive, the parabola opens up.
Vertex .
Focus .
Graph:
Graph the and Focus .
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Observe the graph:
The distance between focus and the point of tangency is .
is the one leg of the isosceles triangle.
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Substitute and .
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Find the point , the end point of the other leg of the isosceles triangle.
Since is positive the parabola opens up and will be to the below of the focus.
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The tangent line passes through the points and .
The slope of tangent line is .
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The point-slope form of line equation is .
Substitute and .
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The tangent line equation is .
The tangent line equation is .
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