Vocab
8.1: Key Features
8.2: Vertex Form
8.3: Standard Form
Mr. C Trivia (computer use permitted)
100
The Parent Function that looks like the following is referred to as:
y = x^2
Quadratic
100
What does the a-value do to the parent function?
y=4x^2
Vertical Stretch by a factor of 4
100
Name the Vertex:
f(x) = x^2+2
(0, 2)
100
What is the y-intercept of the equation:
y=2x^2-4x-6
y-intercept: (0, -6)
100
This male version of an ewe was Mr. C's high school mascot.
A Ram
200
This key feature is either the maximum or the minimum of the function.
Vertex
200
What does the a-value do to the parent function?
y=-0.4x^2
Vertical Compression, Reflection over the x-axis
200
Name the Vertex:
f(x) = (x+2)^2
(-2, 0)
200
What is the y-intercept and axis of symmetry for the following function?
f(x) = 0.4x^2+1.6x
Y-Intercept: (0, 0)
Axis of Symmetry: x = 0
200
What is Mr. C's favorite forest critter?
Fox, Red Fox specifically
300
This formula form exhibits the leading coefficient and the coordinates of the maximum or minimum point of this line type.
Vertex Form
300
Which function has a quicker rate of change? How do you know?
f(x)=0.8x^2
g(x) = -3x^2
g(x)
300
Name the name/meaning of each variable in the Vertex Form.
A =
H =
K =
A = Leading Coefficient
H = x-value of the Vertex
K = y-value of the Vertex
300
What is the standard form of the following Vertex form?
f(x) = -2(x-1)^2+3
f(x) = -2x^2+4x+1
300
What three colors are used in Mr. C's College Alma Mater?
Black, Orange, and White
400
This formula form exhibits the leading coefficient and the y-intercept of this line type.
Standard Form
400
Where is the following equation increasing and decreasing? Put your answer in interval notation.
Increasing: (0, ∞)
Decreasing: (-∞, 0)
400
In this literal equation, what is the coordinates of the Vertex?
y=a(x+h)^2-k
(-h, -k)
400
What is the vertex of the function?
f(x) = 4x^2+12x+5
(-1.5, -4)
400
This math-heavy Science class is one that Mr. C hopes to eventually get licensed to teach.
Physics
500
Another name for the curved line in question is this.
Parabola
500
What is the Average rate of change of a parabola that has a vertex of (0, 3) and a point (4, 43)?
10
500
Give the vertex form of the function that has a vertex of (2, 5) and a point of (3, 2)
y=-3(x-2)^2+5
500
A water balloon is tossed into the air. The function:
h(x) = -0.5x^2+4x+1
gives the height, in feet, of the balloon from the surface of a pool as a function of the balloon's horizontal distance from where it was first tossed. Will the balloon hit the ceiling 12 ft. above the pool? Explain.
No, the maximum height the balloon will reach is 9 ft.
500
Mr. and Mrs. C are going to an event in New York City in the near future that features a hobby they both share. What event are they going to?
Double Points: Where are they going?
A D&D Liveshow
(The 20-Sided Tavern)