Comparing Characteristics
Between the table, equation and graph, which has the highest y-intercept?
Graph
What is the y-intercept of y=x2+2x+4
(0,4)
Does the function open upwards or downards?
y=-2(x-4)(x+2)
Down
What is the concavity of
y=2(x-2)2+4?
up
What is the y-intercept of the graph?
(0,2)
Between the table, equation and graph, which has the axis of symmetry furthest to the right?
equation
What is the coordinate of the y-intercept for y=-2x2+5x-4
(0,-4)
What are the zeros?
y=3(x-2)(x+1)
(2,0) and (-1,0) or x=2 and x=-1
What is the vertex of y=-3(x-2)2+4
(2,4)
What is the vertex?
(1,4)
Between the table, equation and graph, which has neither the lowest nor highest vertex?
Table
What is the coordinate of the y-intercept for y=10x2+5x
(0,0)
What is the y-intercept?
y=(x+2)(x+1)
(0,2)
What is the vertex of
y=4(x+4)2-2
(-4,-2)
What are the roots of the graph?
(-2,0) and (3,0) or x=-2 and x=3
Between the table, equation and graph, which has the fewest zeros?
Table
What is the equation for the axis of symmetry for y=2x2+12x-4
x=-3
What is the axis of symmetry?
y=(x-2)(x+2)
x=0
What is the axis of symmetry of
y=(x+1)2+1
x=-1
What is the domain and range of the graph
D: All Reals
R: (-infinity, 9]
Which function has the steepest average rate of change on the interval [0,1]
equation
What is the coordinate of the vertex for y=x2- 4x+2
(2,-2)
What is the vertex of
y=(x+2)(x+4)
(-3,-1)
What is the coordinate of the y-intercept of
y=-2(x-4)2+20
(0,-12)
What are the intervals of increase and decrease of the graph?
Inc: (-infinity, 1)
Dec: (1, infinity)