Quadratic Graphs
How many zeros (x-intercepts) can a quadratic function have? List all possibilities.
2, 1, or none
What is the value of "a" for a graph of a quadratic function opening downward.
"a" 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
What countries accent is Shrek's voice imitating?
Scotland
In what part of the body would you find the tarsus and metatarsus?
Foot
Is the vertex of the quadratic function y = 5x2 + 10x - 2 a maximum or minimum point?
It's a 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 (4, -19)?
Is this a function? How do you know?
No - it does not passes the vertical line test
What is the name of the line that divides a quadratic function exactly in half?
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?
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.
Find the coordinates of the y-intercept for the quadratic function:
y=3x2 + 2x - 1
Y-intercept (0, -1)
Evaluate this function with f(-5):
f(x) = 2x3 + 15x
f(-5) = -325
What is the name of the point on a quadratic function that will be the maximum or minimum of the function?
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)
Find the y-intercept and vertex for this quadratic function (round to nearest tenth).
y = -4.9x2 +16.4x + 1
The y-intercept (0, 1) and
the vertex (1.7, 14.7)
Evaluate this function with f(7):
f(x) = -x2 + 3x
f(7) = -28
Sketch a graph of the follow parabola based off transformations:
f(x)=-1/10(x-5)^2+5
Hrm
300 points per question:
1. What year did the Invasion of Normandy take place?
2. According to Stephen King’s novel IT, Pennywise the clown wakes up every how many years?
3. In 1966, what legendary musician recorded his self-titled debut album in just six hours?
4. An earthquake that measures 8 on the Richter Scale would be how many times stronger than one that measures 4 on the same scale?
1. 1944
2. 27 years
3. Bob Dylan
4. Each step up is 10x
4-->8 is 10x10x10x10 times bigger = 10,000
The coordinates of the vertex for this quadratic function:
y = x2 - 4x + 8
What is (2, 4)?
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=-3
Put the release of these Disney movies in chronological order:
James and the Giant Peach
A Bug's Life
Lion King
Lion King (94)
James and the Giant Peach (96)
A Bug's Life (98)