Vocabulary
Every quadratic equation has a U-shaped graph called this.
What is parabola?
The expression −4.9t x^2 + 50tx + 2 represents the height, in meters, of a toy rocket t seconds after launch. This is the initial height of the rocket.
What is 5 meters?
Name the x-intercepts. y=2(x-2)(x+6)
What is (2,0) and (-6,0)?
Name the vertex y= (x-3)^2 +4
What is (3,4)?
Graph the equation. Must include vertex, and at least one point on each side. y=(x-5)(x-1)
What is graph on board?
The highest or lowest point on a parabola.
What is the vertex?
Morgan throws a ball up into the air. The height of the ball above the ground, in feet, is modeled by the function
h(t) = −16t^2 + 24t, where t represents the time, in seconds, since the ball was thrown. What is the appropriate domain for this situation?
What is 0 to 1.5?
Name the x-intercepts Y=(x)(x-2)
What is (0,0) and (2,0)?
The name of the point where the graph crosses the y-axis
What is the y-intercept?
Let h(t) = −16t^2 + 64t + 80 represent the height of an object above the ground after t seconds. This is the number of seconds it takes to achieve its maximum height.
What is 2 seconds?
Name the x-intercepts. y=x^2 - 4
What is (-2,0) and (2,0)?
This is the number before the x^2 that determines whether a parabola opens up or down.
What is the leading coefficient? (also a)
An Air Force pilot is flying at a cruising altitude of 9000 feet and is forced to eject from her aircraft. The function
h(t) = −16t^2 + 128t + 9000 models the height, in feet, of the pilot above the ground, where t is the time, in seconds, after she is ejected from the aircraft. Determine and state the vertex of h(t).
What is 4, 9256
The line that runs through the vertex and divides the parabola in half.
What is axis of symmetry?
A football player attempts to kick a football over a goal post. The path of the football can be modeled by the
function h(x) = (− 1/225) x^2 +(2/3) x, where x is the horizontal distance from the kick, and h(x) is the height of the football above the ground, when both are measured in feet. What does the vertex of this function mean? If the goal post if 10 feet high, can the football go over the goal?
This is the maximum height of the football, and yes it can.
Name the x-intercepts. y= (x-1)^2 + 1
What is None?
Name the vertex 2x^2 + 4x - 6 = 0?
What is (-1,-8)?
Graph the equation. Must include vertex, and at least one point on each side. -x^2 -6x + 1 = 0
What is graph on board