Quadratic Graphs
Quadratic Properties
Quadratic Functions I
Quadratic Functions II
Functions
100
How many zeros (x-intercepts) can a quadratic function have?
What is 2, 1, or none?
100
The value of "a" for a graph of a quadratic function opening downward.
What is negative?
100
The coordinates of the y-intercept for the quadratic function:
y=-2x2 + 5x - 7
What is (0,-7)?
100
If the x-intercepts of a function are x = 6 and x=12, what is the Axis of Symmetry (x-value of the vertex)?
x = 9
100
A water balloon is catapulted into the air so that its height, h, in meters, after t seconds is
h=-4.9t^2+27t+2.4
What is the maximum height of the balloon?
about 39.59 meters
200
The shape of the graph of a quadratic function.
What is a parabola?
200
The vertex of the quadratic function y = 5x2 + 10x - 2 is a ____________________ point.
What is minimum?
200
The x-intercepts of the quadratic equation:
y = x2 - 8x - 20
What is x = 10 and x = -2?
200
The coordinate for the y-intercept for this quadratic function:
y = x2 - 8x - 3
What is (0, -3)?
200
What must be present in a quadratic equation?
hint: this means quadratic
X2
300
The name of the line that divides a quadratic function exactly in half.
What is the axis of symmetry?
300
domain and the axis of symmetry
300
This determines whether a function will have a maximum turning point or a minimum turning point.
What is the leading coefficient (a value) ?
300
The coordinates x-intercepts for the quadratic function:
y=3x2 + 2x - 1
What is (-1, 0) and (0.33, 0)?
300
A water balloon is catapulted into the air so that its height, h, in meters, after t seconds is
h=-4.9t^2+27t+2.4
How long until the balloon reaches the ground?
about 5.6 seconds
400
The name of the point on a quadratic function that will be the maximum or minimum of the function.
What is the vertex?
400
f(x) = x2 write the equation of of p(x) after the translations
p(x)= (x+8)2- 6
400
Find the vertex for the quadratic function:
y = x2 + 10x + 6
What is (-5, -19)
400
The vertex for this quadratic function:
y = -4.9x2 +16.4x + 1
What is (1.7, 14.7)?
400
A water balloon is catapulted into the air so that its height, h, in meters, after t seconds is
h=-4.9t^2+27t+2.4
How high is the balloon after 1 second?
24.5 meters
500
The domain of a quadratic function
What is (- oo, oo)?
500
The factored form of the quadratic equation:
y = x2 - 6x + 5
y = (x - 5) (x - 1)
500
The coordinates of the vertex for this quadratic function:
y = x2 - 4x + 8
What is (2, 4)?
500
What is the vertex for:
y = -5x2 +10x + 2
Vertex: (1, 7)
500
A model rocket is launched from the roof of a building. Its flight path is modeled by h=-5t^2+30t+10 where h is the height of the rocket above the ground in meters and t is the time after the launch in seconds. What is the rocket’s maximum height?
55