Vertex Form
Standard Form
Key Features
Modeling
Miscellaneous
100
Write an equation for a quadratic function in vertex form with a vertex of (-3, 2).
y = (x + 3)2+2
100
Which value, a, b, or c, represent the y-intercept when an equation is written in standard form?
The "c" value
100
What is the domain of the function
y=-3x^2-3x+1
All real numbers.
100
What is the equation for the vertical motion of a baseball hit with an initial velocity of 70 ft/sec from a height of 3.5 ft off the ground?
y=-16t^2+70t+3.5
100
The graph of a quadratic function is in the shape of a ______________________.
Parabola
200
Write an equation in vertex form for the following quadratic: y = 3x2 - 6x + 6.
y = 3(x - 1)2 + 3
200
Rewrite the following function in Standard Form:
f(x) = 4(x + 2)2 - 8
f(x) = 4x2 + 16x + 8
200
Does the graph of this function open up or open down?
f(x)=-3(x+2)^2-4
This graph will open DOWN.
200
What is the maximum height, in feet, reached by an object whose motion is modeled by the equation below?
h(t) = -16t^2+200t+25
650 feet
200
Does this table of values represent a linear, exponential, or quadratic relationship?
Exponential
300
What is the vertex and axis of symmetry for the following quadratic function: f(x) = 4(x + 2)2 - 8
Vertex: (-2, -8)
Axis of Symmetry: x = -2
300
Rewrite the function in standard form:
f(x)=-(x-2)^2+3
f(x)=-x^2+4x-1
300
Will the vertex of this function be a maximum or a minimum?
g(x)=4x^2
The vertex is a MINIMUM.
300
How long does it take, in seconds, for an object whose motion is modeled by the equation below to reach its maximum height?
h(t)=-16t^2+200t+25
6.25 seconds
300
What is the axis of symmetry of the graph of y=8(x-2)^2+4 ? You must write your answer as an equation.
x = 2
400
Describe the transformations (3) of the graph of this function from the graph of the parent function, y = x2.
f(x) = -(x + 8)2 - 4
Reflected over the x-axis, left 8 and down 4.
400
What is the vertex of
g(x) = 1/2(x - 1)^2 + 2
(1, 2)
400
What is the range of the following function written as an inequality?
h(x)=6(x+2)^2-8
y>=-8
400
The function h(t)=-16t^2+96t+10 models the path of a projectile. What is the initial height (in feet) and velocity (in feet/second) of the projectile?
Initial height: 10 feet
Initial velocity: 96 ft/sec
400
How is the graph of g(x) transformed from the parent function y = x2?
g(x) = -2(x+3)^2+1
Reflected over x-axis; Vertical stretch; Left three; Up 1
500
What is the vertex of the function below? Is it a maximum or a minimum?
g(x) = -6(x + 4)2 - 1
Vertex: (-4, -1)
Maximum
500
What is the y-intercept of the function? Write your answer as an ordered pair.
g(x)=-2x^2+3x-14
(0,-14)
500
If g(x)=ax2 opens up and is WIDER than the parent function, f(x)=x2... what is a possible value of a?
F) -10 G) 1/4 H) 10 I) -1/4
G
500
A rectangular patio has a length four times its width. It also has a 3-ft wide brick border around it. Write a quadratic function to determine the area of the patio and border.
A = (x + 6)(4x + 6)
OR
A = 4x2 + 30x + 36
500
What type of function does the table of values represent (linear, exponential, or quadratic)?
Quadratic Function