Quadratic Graphs
Quadratic Properties
Find the zeros
Quadratic Forms
Functions
100
How many zeros (x-intercepts) can a quadratic function have?
What is 2, 1, or none?
100
The coordinates of the y-intercept for the quadratic function:
y=-2x2 + 5x - 7
What is (0,-7)?
100
f(x)=(x+4)(x-8)
What is {-4, 8}?
100
The vertex for this quadratic function:
y = (x - 4)2
What is (4, 0)?
100
Multiply the following polynomials: (x+6)(x+9)
What is x2 + 15x +54
200
The shape of the graph of a quadratic function.
What is a parabola?
200
What determines whether a function will have a maximum turning point or a minimum turning point?
If the leading coefficient is positive it will be a minimum and if it is negative it will be a maximum.
200
Find the zeros (x-intercepts) of the following:
y = x2 - 8x - 20
x = 10 and x = -2
200
If a=1 write the equation of this quadratic in vertex form:
What is
y=(x-2)^2-9
200
Write an expression for the area of a square that has one side with a length of (x+4)
What is x2 + 8x + 16
300
The axis of symmetry of a quadratic equation in standard form is equal to..
What is -b/2a?
300
The axis of symmetry for:
f(x)= -3(x+12)2 -4
What is -12
300
Factor the following polynomial: x2 + 13x + 42
What is (x+6)(x+7)
300
For : y = x2 - 6x + 5
a) state the x-intercepts
x = 5 and x = 1
300
Evaluate this function with f(-5):
f(x) = 2x3 + 15x
f(-5) = -325
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
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
400
Convert the quadratic function in vertex form to standard form. f(x) = 3(x-4)2 +7
What is 3x2 - 24x +55
400
Convert the function that is in factored form to standard form. f(x) = -3(x-1)(x-3)
What is -3x2 +12x -9
400
Evaluate this function with f(7):
f(x) = -x2 + 3x
f(7) = -28
500
The standard form of the quadratic
f(x) = -5(x+2)2 -7
What is f(x)=-5x2 -20x-27?
500
What does it mean for a quadratic function to only have one root?
What is it only touches the x-axis once - at the vertex
500
What are the roots of this quadratic function?
y = 3 (x-5)2 -12
What is {3,7}
500
Convert the quadratic function in vertex form to standard form. f(x) = -2 (x+1)2 - 5
What is -2x2 - 4x - 7
500
How do you know if a table of values is a function or not?
If each input (x-value) has only one output (y-value), then it is a function