Which of the following best defines the axis of symmetry of a quadratic function?
a) The highest and lowest point on a parabola.
b) Where the parabola crosses the y-axis.
c) How wide or narrow a parabola is.
d) A vertical line that divides the parabola into two mirror-image halves.
d) A vertical line that divides the parabola into two mirror-image halves.
Which of the following best defines the vertex of a parabola?
a) The points where the parabola intersects the x-axis.
b) The line that divides the parabola into two symmetrical halves.
c) The highest or lowest point on the parabola.
d) The y-intercept of the parabola.
c) The highest or lowest point on the parabola.
What are the equations for parabolas for the following,
Standard form?
Vertex form?
Standard form = ax2 + bx + c
Vertex form = a(x-h)2 + k
The value k in the vertex form equation for a parabola y = a(x-h)2+k tells you if the graph has moved in what directions
Up or Down
Name the movie
What is the equation for Axis of Symmetry?
x = -b/2a
What is the vertex?
(-2, 4)
Narrower or wider than the parent function?
y = 4x2
Narrower
a>1
The value h in the vertex form equation for a parabola y = a(x-h)2+k tells you if the graph has moved in what directions
left or right
There are four NBA teams that do not end in "s" What are the four teams?
Miami Heat
Orlando Magic
Oklahoma City Thunder
Utah Jazz
What is the equation for the axis of symmetry in the following?
x = -2
(If incorrect, you lose points!)
The vertex of this equation y = 3x2-12x+6
(2,-6)
Narrower or wider than the parent function?
f(x)=0.25x^2
Wider
a<1
The graph of the function y = x2 - 5 is translated how many units and in what direction from the origin?
5 units down
Which artist holds the record for the most Grammy wins?
Beyonce - 35 total
Write an equation for the axis of symmetry for the following.
x = 0
The vertex of this equation y = 8(x+3)2+5
(-3,5)
Does the graph of
-2(x + 5)2 + 2
have a minimum or a maximum?
Maximum
The graph of the equation y = (x+9)2 is translated how many units and in what direction from the origin
What is left 9 units
ALL PLAY!! List the continents from largest to smallest:
Asia
Africa
North America
South America
Antarctica
Europe
Australia
Write an equation for the axis of symmetry for the following function.
x = 3
What is the vertex of the parent function,
f(x)=x^2
(0,0)
What is the domain and range for the following in inequality form.
y = x2 - 2x - 3
Domain: −∞<x<∞
Range: y ≥ -4
The graph of the equation y = 2(x - 4)2 +7 is translated how many units and in what direction from the origin
Up 7 units
ALL PLAY!!
Put the following movies in order from oldest to newest.
Shrek
Toy Story
The Incredibles
Ratatouille
The Lion King
Wall-E
Finding Nemo
The Lion King - 1994
Toy Story - 1995
Shrek - 2001
Finding Nemo - 2003
The Incredibles - 2004
Ratatouille - 2007
Wall-E - 2008