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 x-value of the vertex?
x = 9
*Mrs. Reid will show you the information (S1)
Yes - it passes the vertical line test
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 = x2 - 8x - 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?
find the exponential equation passing through
(2, 5) and (6, 405)
y = 5/9(3)^x
What determines whether a function will have a maximum turning point or a minimum turning point?
Whether or not the highest power term is negative.
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)?
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?
How do you find the vertex of a quadratic function that opens sideways?
Not possible
Find the vertex for the quadratic function:
y = x2 + 10x + 6
What is (-5, -19)
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)?
Evaluate this function with f(7):
f(x) = -x2 + 3x
f(7) = -28
The domain of a quadratic function is typically defined as what?
All real numbers
For : y = x2 - 6x + 5
a) state the x-intercepts
b) state the vertex
x = 5 and x = 1
Vertex (3, -4)
The coordinates of the vertex for this quadratic function:
y = x2 - 4x + 8
What is (2, 4)?
The graphing form for
y = -5x2 +10x + 15
y = -5((x-2)^2 - 1) or -5(x-2)^2+5
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