A parabola has a vertex at (0,0). The focus of the parabola is located on the positive x-axis. Which part of the graph will the
directrix pass through? the origin the negative part of the x-axis the positive part of the x-axis the negative part of the y-axis
2 answers:
Answer with explanation:
→→Information given about Parabola
Vertex of the Parabola = (0,0)
Focus is located on the positive x- axis.
Definition of Parabola: A parabola is locus of all the points such that distance from a fixed point known as focus to distance from a fixed line called, Directrix is always constant.
Let focus of the parabola be (k,0), where , k>0.
Distance between vertex (0,0) and focus(k,0) = Distance between vertex (0,0) and point on negative x-axis (-k,0).
Directrix will pass through point (-k,0).
So, equation of Directrix will be, x= -k
Directrix will pass through
Option B: The Negative part of the x -axis.
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Step-by-step explanation:
Step 1:
In the given triangle, the opposite side's length is 16.2 m, the adjacent side's length is x m while the triangle's hypotenuse measures 16.2 m units.
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Step 2:
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Step 3:
As we have the values of the angle and the hypotenuse, we can calculate the cos of the angle to determine x.
Rounding this off to the nearest hundredth, we get x = 8.80 m.