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The equation, y = x2 3 represents a parabola that intersects y-axi
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21 Nov 2024, 00:05
21 Nov 2024, 00:05
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The equation, \(y = x^2 – 3\) represents a parabola that intersects y-axis at the point Q. If P is a point on the parabola having coordinates (2, k), what is the distance between the point P and the point Q?
A. 6
B. 7
C. \(2 \sqrt{5}\)
D. \(3 \sqrt{3}\)
E. 9
A. 6
B. 7
C. \(2 \sqrt{5}\)
D. \(3 \sqrt{3}\)
E. 9
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Re: The equation, y = x2 3 represents a parabola that intersects y-axi
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21 Nov 2024, 12:37
21 Nov 2024, 12:37
1
The graph of y = x^2 - 3 is the graph of x^2 pushed 3 units below the origin so coordinate of Q = (0, -3).
To find coordinate of P, sub for x = 2 in the equation. Therefore P (2,1)
Distance between P and Q
= D^2 = (-3-1)^2 + (0-2)^2
Answer is C
To find coordinate of P, sub for x = 2 in the equation. Therefore P (2,1)
Distance between P and Q
= D^2 = (-3-1)^2 + (0-2)^2
Answer is C
gmatclubot
Re: The equation, y = x2 3 represents a parabola that intersects y-axi [#permalink]
21 Nov 2024, 12:37
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