Vocabulary
v0
The maximum or minimum point of a parabola
x2-7x-18
What is (x-9)(x+2)?
The length of a rectangle is 5 inches more than the width. The rectangle has a border that is 3 inches wide. Write a function that models the area of the rectangle and the border.
x2+17x+66
An object is launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. What will be the object's maximum height? When will it attain this height?
It takes two seconds to reach the maximum height of 144 feet.
h0
What is initial height
The line that makes a parabola symmetrical
What is the axis of symmetry?
x2-16x+63
What is (x-9)(x-7)?
The length of a rectangle is 5 inches more than the width. The rectangle has a border that is 3 inches wide. What is the area if the width is 2 inches?
104 square inches
An arrow is fired from a bow and its height, h, in metres above the ground, t seconds after being fired, is given by ℎ(𝑡) = −5𝑡2 + 40𝑡 + 3. Algebraically determine the maximum height attained by the arrow and the time taken to reach this height.
The arrow reaches a maximum height of 83 meters in 4 seconds.
h(t)= -16t2 + v0t + h0
What is the vertical motion model?
The points where the parabola crosses the y-axis.
What is the y-intercept?
7x2-31x-20
What is (7x+4)(x-5)?
An object is launched at 19.6 meters per second (m/s) from a 58.8-meter tall platform. The equation for the object's height s at time t seconds after launch is s(t) = –4.9t2 + 19.6t + 58.8, where s is in meters. When does the object reach its maximum height?
The object reaches its maximum height after 2 seconds.
What is a parabola?
f(x)=x2
What is the parent function?
28n4+16n3-80n2
What is 4n2(7n-10)(n+2)?
An object is launched at 19.6 meters per second (m/s) from a 58.8-meter tall platform. The equation for the object's height s at time t seconds after launch is s(t) = –4.9t2 + 19.6t + 58.8, where s is in meters. What is the maximum height?
The maximum height of the object is 78.4 m
The 'a' value in the vertical motion model?
What is the gravitational constant?
The point(s) where the parabola crosses the x-axis.
What is the roots, solution, zeros, or x-intercepts?
30n2b-87nb+30b
What is 3b(2n-5)(5n-2)?
The path of a model rocket can be described by the quadratic function 𝑦 = −𝑥2 + 12𝑥, where 𝑦 represents the height of the rocket, in meters, at time 𝑥 seconds after takeoff. Identify the maximum height reached by the rocket and determine the time at which the rocket reached its maximum height.
The rocket reaches a maximum height of 36 meters at 6 seconds.