Master Writing the equation of a parabola given the focus or directrix vertex at origin

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Mathematics, Engineering
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11th Grade - University
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Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the variable P represent in the context of a parabola?
The slope of the parabola
The coordinates of the vertex
The distance from the vertex to the focus
The distance from the vertex to the directrix
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If the focus of a parabola is to the right of the vertex, in which direction does the parabola open?
Downwards
Upwards
To the right
To the left
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you determine the value of P when given the focus of a parabola?
By using the equation of the directrix
By calculating the midpoint between the vertex and the focus
By measuring the distance from the vertex to the focus
By measuring the distance from the vertex to the directrix
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the relationship between the axis of symmetry and the directrix in a parabola?
They are perpendicular to each other
They are the same line
They are parallel to each other
They intersect at the vertex
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When given a vertical directrix, in which direction does the parabola open?
Only upwards
Upwards or downwards
Only downwards
To the left or right
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of converting a parabola's equation into standard form?
It simplifies the calculation of the focus
It is required for solving quadratic equations
It makes the equation easier to graph
It helps in identifying the vertex
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If a parabola has a horizontal directrix, what can be inferred about its axis of symmetry?
It is circular
It is horizontal
It is diagonal
It is vertical
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