Projectile Motion
An object is fired straight up from the top of a 200-foot tower at a velocity of 80 feet per second. The height h(t) of the object t seconds after firing is given by h(t) = -16t2 + 80t + 200.
Find the initial height of the object.
What is 200 feet?
An open circle means you would use ___________
A closed circle means you would use ___________
(Parenthesis or Bracket)
What is a Parenthesis?
What is a Bracket?
Vertex: (0, 0)
Focus: (0, -4)
Find the p-value.
What is - 4?
Write the equation of the parabola with the points (0, -3), (-2, -7), and (-4, -3).
What is y = x2 + 4x - 3?
An object is fired straight up from the top of a 200-foot tower at a velocity of 80 feet per second. The height h(t) of the object t seconds after firing is given by h(t) = -16t2 + 80t + 200.
Find the maximum height of the object.
What is 300 feet?
Find the range of the equation in interval notation.
f(x) = 4(x+1)2 - 8
What is [-8, infinity)?
Vertex: (0, 0)
Focus: (5, 0)
Find the direction of the parabola.
(Horizontal or Vertical)
(Opens up/down/left/right)
What is Horizontal and opens right?
Write a function in vertex form to describe the graph that has a vertex of (2, -3) and passes through the point (-4, 6).
What is y = (1/4)(x - 2)2 - 3?
An object is fired into the air from a height of 250 meters and follows a path given by the function: h(t) = -4.9t2 + 55t + 250, where the x & y components are measured in meters and time t in seconds.
Find the initial height of the object.
What is 250 meters?
Find the value of c that will make the graphs of
f(x) = 4x2 - 24x + c
and
y = 4(x-3)2+1
be the same.
What is 37?
Write the vertex form equation for a horizontal parabola.
What is x = 1/4p (y - k)2 + h?
Jack started a business making and selling fashionable hates. Below is the data collected of his cost c for producing x number of hats. Find the quadratic equation to describe the data.
(Number, Cost)
(0, 1500), (300, 3000), (600, 5000), (1000, 9500), (1200, 12000), 1300, 14000)
What is y = 0.0005x2 + 2.76x + 1566.70?
An object is fired into the air from a height of 250 meters and follows a path given by the function: h(t) = -4.9t2 + 55t + 250, where the x & y components are measured in meters and time t in seconds.
Find the maximum height of the object (Round to the hundredths place)
What is 404.34 meters?
Write the equation that has the same axis of symmetry as the graph of:
y = -2x2 + 4x - 3
(Answer choices from you review packet)
What is y = (x-1)2?
Find the equation for a parabola with a vertex at the origin and focus at (0, -4).
What is y = (-1/16)x2 ?
A quadratic function has an axis of symmetry at x = 3, a maximum value at 3 and zeros at 2 and 4.
Find the "a" value of y = a(x-h)2 + k for this quadratic.
What is -3?
The height of a model rocket that is fired into the air can be represented by a quadratic function. Based on the data in the table, find the height in feet of the rocket above the ground 3 seconds after being launched.
(Table in your review)
What is 48 feet?
DAILY DOUBLE
Find the vertex, axis of symmetry, and vertex form of the quadratic equation:
y = x2 + 6x + 8
What is (-3, -1)?
What is x = -3?
What is y = (x+3)2 - 1?
At a celebration, a firework is projected vertically into the air and reaches a maximum height of 100 meters. The path of the firework is parabolic and lands on the ground 30 meters from the launch site.
Write the equation in standard form that represents the path or the flying object.
What is y = -0.4x2 +13x?