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)?
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
The vertex form of the equation:
What is
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?
The x-intercepts of the quadratic equation:
y = x2 - 8x - 20
What is x = 10 and x = -2?
The coordinate for the y-intercept for this quadratic function:
y = x2 - 8x - 3
What is (0, -3)?
Is this a function? How do you know?
*Mrs. Reid will show you the picture (S12)*
No - it does not passes the vertical line test
The name of the line that divides a quadratic function exactly in half.
What is the axis of symmetry?
Order the following quadratic functions from narrowest to widest:
y=4x2 y=-12x2 y=11x2 y=-2x2
What is y=-12x2, y=11x2, y=4x2, y=-2x2?
This determines whether a function will have a maximum turning point or a minimum turning point.
What is the leading coefficient (a value) ?
The coordinates x-intercepts for the quadratic function:
y=3x2 + 2x - 1
What is (-1, 0) and (0.33, 0)?
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?
Order the following quadratic functions from widest to narrowest:
y=4x2 y=2/3 x2 y=-2x2 y= x2
What is y=2/3 x2, y= x2, y=-2x2, y=4x2
Find the vertex for the quadratic function:
y = x2 + 10x + 6
What is (-5, -19)
The vertex for this quadratic function:
y = -4.9x2 +16.4x + 1
What is (1.7, 14.7)?
Evaluate this function with f(7):
f(x) = -x2 + 3x
f(7) = -28
The domain of a quadratic function
What is (- oo, oo)?
The factored form of the quadratic equation:
y = x2 - 6x + 5
y = (x - 5) (x - 1)
The coordinates of the vertex for this quadratic function:
y = x2 - 4x + 8
What is (2, 4)?
What is the vertex for:
y = -5x2 +10x + 2
Vertex: (1, 7)
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