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Ulleksa [173]
3 years ago
5

A parabola and a circle are graphed into the standard (x,y) coordinate plane. The circle has a radius of 4 and is centered at (1

,1). The parabola, which has a vertical axis of symmetry, has its vertex at (1,5) and a point at (2,4). How many points of intersection exist between the parabola and the circle?
Mathematics
1 answer:
Gala2k [10]3 years ago
6 0

Answer:

Correct answer: Two point of intersection and one touch point.

Step-by-step explanation:

Cartesian form of parabola is: y= a(x-1)² + 5  and point named A(2,4)

when we replace the coordinates of the point A in the formula we get

a = - 1 and parabola is  y= - (x-1)² + 5 which means that it faces the opening downwards. The parabola touches the circle in vertex.

God is with you!!!

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I hope you find my answer helpful. :)

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