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.
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
What is the name of 2 angles that add up to 180 degrees?
What is supplementary.
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 maximum or minimum point.
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
What is the equation of the axis of symmetry in this function ?
y = -3x2 - 12
x = 0
The name of the line that divides a quadratic function exactly in half.
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?
What year did Mr. Aguilar graduate from HS?
1996
The coordinates of the y-intercept and one of the 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.
The vertex?
What size sneaker does Mr. Aguilar wear?
What is 13.
Find the vertex for the quadratic function:
y = x2 + 10x + 6
What is (-5, -19)
How many ounces in a 3 pounds?
What is 48.
Evaluate this function with f(7):
f(x) = -x2 + 3x
f(7) = -28
The domain of a quadratic function
All real #s
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)?
What is the range in this function?
y = -5x2 +10x + 2
y < 7 <------or -----> (-oo, 7)
What is the capital of North Carolina?
What is Raleigh.