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PRE CAL PARABOLAS

Quiz by B23 Yap, Paul Mark M.

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15 questions
Show answers
  • Q1

    The set of all points (x, y) in a plane that are equidistant from a fixed line, the directrix, and a fixed point, the focus, not on the line. 

    Parabola

    Circle

    Hyperbola

    Ellipse

    30s
  • Q2

    Find the standard form of the equation of the parabola with vertex at the origin and focus (2, 0)

    y^2=8x

    x^2=4x

    x^2=8x

    y^2=2x

    x^2=2x

    30s
  • Q3

    Find the standard form of the equation of the parabola with vertex (2, 1) and focus (2, 4).

    \left(x-2\right)^2=6\left(y-1\right)

    \left(x-2\right)^2=4\left(y-1\right)

    \left(x-2\right)^2=16\left(y-1\right)

    \left(x-2\right)^2=12\left(y-1\right)

    \left(y-2\right)^2=3\left(x-1\right)

    30s
  • Q4
    30s
  • Q5

    Write an equation of the parabola with vertical axis of symmetry, vertex at the point (2, 3), and passing through the point (4, 5).

    \left(y-3\right)^2=4\left(x-2\right)

    \left(x-2\right)^2=2\left(y-3\right)

    \left(y-3\right)^2=2\left(x-2\right)

    \left(x-2\right)^2=4\left(y-3\right)

    \left(y-3\right)^2=\frac{1}{2}\left(x-2\right)

    30s
  • Q6
    30s
  • Q7
    30s
  • Q8
    30s
  • Q9
    30s
  • Q10

    Write the standard equation of a parabola with a focus at (-3,-2) and a directrix at x = 1

    \left(y+2\right)^2=8\left(x-1\right)

    \left(y+2\right)^2=8\left(x+1\right)

    \left(y+2\right)^2=-4\left(x+1\right)

    \left(y+2\right)^2=4\left(x+1\right)

    \left(y+2\right)^2=-8\left(x+1\right)

    30s
  • Q11
    30s
  • Q12
    30s
  • Q13

    A cable suspended between two poles which are 200 ft apart has a sag of 50 ft. If the cable hangs in a form of a parabola, find its equation with the origin at its lowest point.

    x^2=50y

    x^2=800y

    x^2=200y

    x^2=100y

    x^2=400y

    30s
  • Q14

    A searchlight has a parabolic reflector that forms a “bowl,” which is 12 in. wide from rim to rim and 8 in. deep, as shown in the figure. If the filament of the light bulb is located at the focus, how far from the vertex of the reflector is it in inches?

    Question Image

    \frac{9}{2}

    \frac{9}{8}

    \frac{9}{5}

    8

    6

    4

    30s
  • Q15

    Water issuing from the end of a horizontal pipe 6 meters above the ground, forms a parabolic curve, the vertex being at the end of the pipe. At a point 2 meters below the line of the pipe, the flow of water has curved outward 3 meters beyond the vertical line through the end of the pipe. How far beyond this vertical line will the water strike the ground? Approximate the answer.

    3.3 m

    6.3 m

    7.1 m

    5.2 m

    5.4 m

    2.4 m

    30s

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