Quadratic Graphs
Quadratic Properties
Quadratic Functions I
Quadratic Functions II
100
How many solutions (x-intercepts) can a quadratic function have?
2, 1, or zero
100
If a is ____________, the graph will open downward.
negative
100
The coordinates of the y-intercept for the quadratic function:
y=-2x2 + 5x - 7
(0,-7)
100
What is the axis of symmetry for the equation below?
f(x) = -2(x+1)2 + 8
x = -1
200
The shape of the graph of a quadratic function.
parabola
200
The vertex of the quadratic function y = 5x2 + 10x - 2 is a ____________________ point.
Maximum or Minimum?
minimum
200
Find the zeros (x-intercepts) of the following:
y = x2 - 8x - 20
x = 10 and x = -2
200
Which equation is the vertex form for the equation below?
A.
B.
C.
D.
A.
300
The name of the line that divides a quadratic function exactly in half.
axis of symmetry
300
Order the following quadratic functions from narrowest to widest:
y=4x2 y=-12x2 y=11x2 y=-2x2
y=-12x2, y=11x2, y=4x2, y=-2x2
300
If a is positive, then the graph has a __________________.
Maximum or Minimum?
Minimum
300
The coordinates of the y-intercept and x-intercepts for the quadratic function:
y=3x2 + 2x - 1
What is y-intercept (0, -1) and x-intercepts (-1, 0) (0.33, 0)?
400
The name of the point on a quadratic function that will be the maximum or minimum of the function.
vertex
400
Order the following quadratic functions from widest to narrowest:
y=4x2 y=2/3 x2 y=-2x2 y= x2
y=2/3 x2, y= x2, y=-2x2, y=4x2
400
Find the vertex for the quadratic function:
y = x2 + 10x + 6
(-5, -19)
400
The y-intercept, x-intercepts, and vertex for this quadratic function:
y = -4.9x2 +16.4x + 1
What is the y-intercept (0, 1), the x-intercepts (-0.06, 0) (3.4, 0) and the vertex (1.7, 14.7)?
500
The domain of a quadratic function
All Real Numbers
500
For : y = x2 - 6x + 5
a) state the x-intercepts
b) state the vertex
x = 5 and x = 1
Vertex (3, -4)
500
The coordinates of the vertex for this quadratic function:
y = x2 - 4x + 8
(2, 4)
500
Given f(x)=x2 and g(x)= 2f(x-4) + 3, list the three transformations.
Stretch by factor of 2
Shifted right 4 units
Shifted up 3 units