Finding the standard form of a parabola given vertex and focus

Interactive Video
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Mathematics
•
11th Grade - University
•
Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in determining which formula to use for a parabola?
Calculate the distance between the vertex and focus.
Determine the axis of symmetry.
Plot the points of the vertex and focus.
Identify the directrix of the parabola.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the definition of a parabola?
A curve that is equidistant from two lines.
A line that is equidistant from two points.
A shape that opens only upwards.
A curve that is equidistant from a point and a line.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the focus in a parabola?
It is the midpoint of the directrix.
It is the point around which the parabola is symmetric.
It determines the width of the parabola.
It is contained within the parabola.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you determine if a parabola is vertical?
The vertex and focus have the same Y coordinate.
The vertex and focus have the same X coordinate.
The parabola opens to the left or right.
The parabola is symmetric about the Y-axis.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of 'P' in the parabola's equation?
The distance from the focus to the directrix.
The distance from the vertex to the axis of symmetry.
The distance from the vertex to the focus.
The distance from the vertex to the directrix.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the standard form of a parabola's equation derived?
By using the distance between the focus and directrix.
By using the axis of symmetry and the vertex.
By using the vertex and the value of 'P'.
By using the focus and the directrix.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final step in simplifying the parabola's equation?
Divide each term by the coefficient of Y.
Add the constant term to both sides.
Multiply each term by the coefficient of X.
Subtract the constant term from both sides.
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