117976
AssignmentMultiple Select

Parabolas

Question 117976 • *CR CCSS Math 2 S2 [M2960OX]

Lauren describes a parabola where the focus has a positive, nonzero x coordinate. Which parabola(s) could Lauren be describing? Check all that apply.x2 = 4yx2 = –6yy2 = x y2 = 10xy2 = –3xy2 = 5x

Answer
A
x2 = 4y
B
x2 = –6y
C
y2 = x
D
y2 = 10x
E
y2 = –3x
F
y2 = 5x

Explanation

For a parabola of the form y² = 4px, the focus is (p, 0), so its x-coordinate is positive when the coefficient of x is positive. Choices C, D, and F have positive coefficients of x, so each has a focus with a positive, nonzero x-coordinate. The forms x² = 4py and x² = −6y have focuses on the y-axis, whose x-coordinate is zero.

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