Properties
Vertex Form
Standard Form
Linear, Quadratic, or Exponential
Miscellaneous
100
What is this shape called?
Parabola
100
Which variable would shift the function left/right
h
100
What is the y-intercept of the equation
f(x)=3x^2-5x+2
(0,2)
100
What type of equation does the table represent
Linear
100
The graph of
g(x)=ax^2
opens downward and is wider than the graph of
f(x)=x^2
What do you know about the value for a?
A is negative and it is between 0 and 1
200
What is the point (h,k) called
Vertex
200
Which variable shifts the function up/down
k
200
What is the axis of symmetry for the equation
f(x)=-3x^2+12x-4
x=2
200
What is the equation of the table below (use the graphing calculator)
f(x)=20(1/2)^x
200
The graph of h is a translation 6 units right and 3 unit down of the graph of
f(x)=x^2
What is the vertex form of the function
f(x)=(x-6)^2-3
300
What is the line going through the point (h,k) called?
Axis of Symmetry
300
What is the vertex of the equation
f(x)=-3(x+5)^2+3
(-5,3)
300
What is the vertex of the equation below
f(x)=2x^2-4x+5
(1,3)
300
What type of equation is modeled by the data? What is the equation?
Quadratic
f(x)=1x^2+2x+1
300
he rate of change of function f is the same from x=4 to x=8 as it is from x=12 to x=16. What type of function is it.
Linear
400
Over what interval is the function increasing
x>0
400
What is the equation for the axis of symmetry?
f(x)=-3(x+5)^2+3
x=-5
400
Write the function in standard form
f(x)=-1/2(x-2)^2+8
f(x)=-1/2x^2+2x+6
400
h(t) = −5.03t^2 + 10.22t + 2.99
400
Nicky wants to surround an 6 in. by 8 in. painting with a frame that is w inches wide. Which quadratic function represents the combined area A of the picture and the frame?
A=(2w+6)(2w+8)
A=4w^2+28w+48
500
What is the average rate of change of the function, over the interval 2<x<4
g(x)=1.5x^2
9
500
What is the highest point of the graph of the function below
f(x)=-2(x-3)+7
this function measures how many feet above the ground a ball was
7 feet
500
What is the value of b, if the equation has a vertex of (3,-10)
y = 2x^2 + bx + 8
b=-12
500
What is the students error?
Did not factor in that the difference between the x values is changing.
500
Over what interval does
f(x)=2^x
increase faster than
g(x)=4x
x>4