Quadratic Graphs
How many zeros (x-intercepts) can a quadratic function have?
What is 2, 1, or none?
The value of "a" for a graph of a quadratic function opening downward.
What is negative?
The coordinates of the y-intercept for the quadratic function:
y=-2x2 + 5x - 7
What is (0,-7)?
What does it mean for a quadratic function to only have one root?
What is the discriminant is zero?
Multiply the following polynomials: (x+6)(x+9)
What is x2 + 15x +54
The shape of the graph of a quadratic function.
What is a parabola?
The vertex of the quadratic function y = 5x2 + 10x - 2 is a ____________________ point.
What is minimum?
Find the zeros (x-intercepts) of the following:
y = x2 - 8x - 20
x = 10 and x = -2
The vertex for this quadratic function:
y = (x - 4)2
What is (4, 0)?
Write an expression for the area of a square that has one side with a length of (x+4)
What is x2 + 8x + 16
The name of the line that divides a quadratic function exactly in half.
What is the axis of symmetry?
What are the roots of this quadratic function?
y = 6 (x-2)(x-8)
2 and 8
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.
Factor the following polynomial: x2 + 13x + 42
What is (x+6)(x+7)
Evaluate this function with f(-5):
f(x) = 2x3 + 15x
f(-5) = -325
The name of the point on a quadratic function that will be the maximum or minimum of the function.
What is the vertex?
Convert the quadratic function in vertex form to standard form. f(x) = -2 (x+1)2 - 5
What is -2x2 - 4x - 7
The vertex of y=3(x-4)(x+2) is...?
What is (1,-27)
Convert the function that is in factored form to standard form. f(x) = -3(x-1)(x-3)
What is -3x2 +12x -9
Evaluate this function with f(7):
f(x) = -x2 + 3x
f(7) = -28
The domain of a quadratic function
What is (-infinity, infinity)?
For : y = x2 - 6x + 5
a) state the x-intercepts
x = 5 and x = 1
The vertex of (x2 + 6x + 2)
What is (-3, -7)
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
When the discriminant is negative, the graph has how many x intercepts?
What is NONE?