Properties of Quadratics
This is the shape of a quadratic function.
What is a parabola?
The direction f(x) = -2(x- - 3) + 2 opens.
What is down?
h(x) = (x + 5)2 What is the transformation from the parent function?
What is 5 units to the left?
The solution(s) to a quadratic equation?
What are roots or zeros?
A ball moves along the line h(t) = -5t2 + 30t + 1.5, where h is in meters and t is in seconds. What is the height of the ball at t = 0 seconds?
What is 1.5 meters?
It is the formula for the vertex form of a quadratic function
What is y = a(x - h)2 + k?
What the vertex of f(x) = 3x2 +4x + 6 is called
What is a minimum?
h(x) = (x - 2)2 + 2 What are the transformations from the parent function?
What is 2 units right and 2 units up?
The factors of g(x) = 3x2 + 12x
What are 3x and (x + 4)?
A ball moves along the line h(t) = -5t2 + 30t + 1.5, where h is in meters and t is in seconds. What is the maximum height of the ball?
What is 46.5 meters?
The vertex of f(x) = 2(x+2) - 3.
What is (-2, -3)?
For the function -2x2 + 5x + 4, the vertex point will be called this.
What is a maximum?
g(x) = 8(x + 2)2 What are the transformations from the parent function?
What are 2 to the left and a vertical stretch by a factor of 8?
The zeros of g(x) = x2 - 25 ?
What are (5, 0) and (-5,0)?
The time that it takes for a spittlebug will to reach its maximum height when its height (h) in millimeters is modeled by the function h(t) = -4000t2 + 3000t, where t is the time in seconds.
What is 0.375 seconds?
It is the line of symmetry from the standard form of the quadratic equation.
What is x = - b/2a?
It is the vertex point for the function x2 + 6x + 6.
What is (-3, -3)?
h(x) = - ((1/3)x)2 What are the transformations from the parent function?
What are a horizontal stretch by a factor of 3 and a reflection over the x-axis?
The zeros of f(x) = x2 - 15x + 54
What are (6,0) and (9,0)?
The maximum area (A) of a rectangular flower garden that is described by the function A(x) = x(10-x) where x is its width in yards.
What is 25 square yards?
The vertex of f(x)= x2 + 2x + 4
What is (1, 3)?
It is the vertex point for h(t) = -5t2 + 30t + 1.5
What is (3, 46.5)?
The equation for the transformed parent function f(x) = x2 that is reflected across the x-axis, moved 3 units to the right, and moved 2 units down.
What is f(x) = - (x - 3)2 - 2?
The factors of f(x) = 9x2 + 12x + 4
What is (3x + 2)2?
The time it takes a stuntwoman to land on an air bag that is 9 feet tall after "falling" from a 73 feet tall building. Her height (h) above the ground is modeled by h(t) = 73 - 16t2, where t is the time in seconds.
What is 8 seconds?