Section 5.4 Focus, Directrix and Writing Parablolas

Quiz by Dr. Esequiel Garcia

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Q 1/18
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A parabola is a set of points which every point is an equal distance from a fixed point, the _____________ and a fixed line, the ___________________
29
focus; directrix
a vertical line, test
conic form, standard form
standard form, vertex form

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18 questions

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Q1
A parabola is a set of points which every point is an equal distance from a fixed point, the _____________ and a fixed line, the ___________________
focus; directrix
a vertical line, test
conic form, standard form
standard form, vertex form
120s
Q2
The "c" value is the distance from the vertex to the focus or the directrix. "c" value is ____________ if the parabola opens up or the right; "c" is ______________ if the parabola opens down or the left.
positive; negative
left; right
wider; narrower
up; down
120s
Q3
Which of the following is the focus?
$y=5$
$f\left(-5,0\right)$
$f\left(0,-5\right)$
$f\left(-5,0\right)$
120s
Q4
When the parabola's vertex is the origin and opens up/down/left/right, the focus will always be either on the y-axis or the x-axis.
False
True
120s
Q5
The directrix of a parabola is either a vertical line or horizontal line.
False
True
120s
Q6
120s
Q7
Identify the focus and directrix
Focus $(1,0)$ Directrix $x= -1$
Focus $(-\frac{1}{2},0)$ Directrix $x=-\frac{1}{2}$
Focus $(-1,0)$ Directrix $x= 1$
120s
Q8
Identify the focus and directrix
Focus $(0,0)$ Directrix $y=3$
Focus $(-3,0)$ Directrix $y= -3$
Focus $(0,-3)$ Directrix $y= 3$
120s
Q9
Which of the following is the equation for the following parabola?
$y=-\frac{1}{20}x^2$
$y=\frac{1}{20}x^2$
$x=-\frac{1}{20}y^2$
$x=-\frac{1}{20}y^2$
120s
Q10
The cross section of a parabolic reflector is shown below. The bulb is located at the focus, and the focal length is 5 cm. If the vertex is at the origin, find the equation of the parabola?
$x=-\frac{1}{20}y^2$
$y=\frac{1}{20}x^2$
$y=-\frac{1}{20}x^2$
$x=\frac{1}{20}y^2$
120s
Q11
The cross section of a parabolic reflector is shown below. The bulb is located at the focus, and the focal length is 5 cm. If the vertex is at the origin, what is the coordinate of the focus?
$f\left(5,0\right)$
$f\left(0,5\right)$
$f\left(0,-5\right)$
$f\left(-5,0\right)$
120s
Q12
What is an equation of the parabola with vertex at the origin and focus (0, 2)?
$x=\frac{1}{8}y^2$
$x=-\frac{1}{8}y^2$
$y=-\frac{1}{8}x^2$
$y=\frac{1}{8}x^2$
120s
Q13
What is an equation of the parabola with vertex at origin and focus at (0,-3)?
$y=\frac{1}{12}x^2$
$y=-\frac{1}{12}x^2$
$x=-\frac{1}{12}y^2$
$x=-\frac{1}{12}y^2$
120s
Q14
What is an equation of a parabola with vertex at the origin and directrix x = 1.25?
$y=-\frac{1}{5}x^2$
$y=\frac{1}{5}x^2$
$x=-\frac{1}{5}y^2$
$x=\frac{1}{5}y^2$
120s
Q15
120s

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Section 5.4 Focus, Directrix and Writing Parablolas

Quiz by Dr. Esequiel Garcia

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