
Understanding Maximum Vertical Distance

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
+1
Standards-aligned

Lucas Foster
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main objective of the problem discussed in the video?
To determine the maximum vertical distance between a line and a parabola.
To find the intersection points of a line and a parabola.
To calculate the area under a parabola.
To find the slope of a line.
Tags
CCSS.HSA.REI.C.7
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the vertical distance between the line and the parabola calculated?
By adding the y-coordinates of the line and the parabola.
By subtracting the y-coordinate of the parabola from the y-coordinate of the line.
By multiplying the x-coordinates of the line and the parabola.
By dividing the y-coordinate of the line by the y-coordinate of the parabola.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the expression for the vertical distance 'v' between the line and the parabola?
x squared plus x minus 24
x plus 24 minus x squared
x squared minus x plus 24
x minus 24 plus x squared
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in maximizing the vertical distance using calculus?
Finding the second derivative of the function.
Setting the first derivative equal to zero.
Calculating the integral of the function.
Finding the intersection points of the line and parabola.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the critical number where the vertical distance is maximized?
x equals 1/2
x equals 4
x equals 0
x equals 2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the maximum vertical distance verified graphically?
By calculating the area under the curve.
By plotting the x-coordinates of the line and parabola.
By finding the intersection of the line and parabola.
By checking if the derivative changes from positive to negative.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the maximum vertical distance between the line and the parabola?
24.5 units
25.0 units
24.25 units
23.75 units
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