Step-by-step Answer
PAGE: 429SET: ExercisesPROBLEM: 47
Please look in your text book for this problem Statement

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 the and Focus .


Observe the graph:

The distance between focus and the point of tangency is .

is the one leg of the isosceles triangle.


Substitute and .


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.


The tangent line passes through the points and .

The slope of tangent line is .


The point-slope form of line equation is .

Substitute and .


The tangent line equation is .

The tangent line equation is .


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