side to side
Identify the transformation, then write the equation of g(x):
f(x)=3x+2; g(x)=f(x-2)
Horizontal Translation Right 2
g(x)=3x-4
Identify the transformation, then write the equation of g(x):
f(x)=2x+2; g(x)=-f(x)
Reflection across the x-axis
g(x)=-2x-2
Trivia Break!
What is Captain America's real name?
Steve Rogers
Identify the transformation, then write the equation of g(x):
f(x)=-2x-1; g(x)=f(x)+3
Vertical Translation up 3
g(x)=-2x+2
Trivia Break!
On the dollar bill, what is on the back, in the center, of the bill?
ONE in giant letters
Use function notation to represent a horizontal translation 4 units to the right and vertical translation 3 units up.
g(x)=f(x-4)+3
Identify the transformation, then write the equation of g(x):
f(x)=3x+12; g(x)=f(-x)
g(x)=-3x+12
Identify the transformation, then write the equation of g(x):
f(x)=2x+5; g(x)=f(2x)
Horizontal Shrink
g(x)=4x+5
Identify the transformation, then write the equation of g(x):
f(x)=6x+1; g(x)=f(-x)
Reflection across y-axis
g(x)=-6x+1
Trivia Break!
After the passing of Queen Elizabeth II, who became England's monarch?
King Charles, her son.
Identify the transformation, then write the equation of g(x):
f(x)=14x; g(x)=f(x)-1
Vertical Translation down 1
g(x)=14x-1
RANDOM REVIEW:
Factor...
x^2-4x-12
(x-6)(x+2)
Identify the transformation, then write the equation of g(x):
f(x)=-2x; g(x)=f(1/3x)
Horizontal Stretch
g(x)=-2/3x
Identify the transformation, then write the equation of g(x):
f(x)=1/4x+2; g(x)=f(x-8)
Horizontal Translation 8 units right
g(x)=1/4x
How would you use function notation to represent a vertical translation down 3 units?
g(x)=f(x)-3
Identify the transformation, then write the equation of g(x):
f(x)=1/2x-11; g(x)=f(x)+5
Vertical Translation Up 5
g(x)=1/2x-6
Trivia Break!
There are 12 languages that write from right to left. Can you name one?
Arabic, Aramaic, Hebrew, Chinese, Urdu, Kurdish...
Trivia Break!
What is the oldest (meaning the first!) national park in the United States?
Yellowstone
Trivia Break!
In the movie Cars, what kind of car is Sally?
a porsche
How would you use function notation to represent a horizontal translation left 6 units and a reflection in the x-axis?
g(x)=-f(x+6)
Trivia Break!
Which U.S. state was the first to join the union? Meaning, it ratified the Constitution first.
Delaware
Identify the transformation, then write the equation of g(x):
f(x)=x^2+1; g(x)=-f(x)
Reflection in x-axis
g(x)=-x^2-1
Identify the transformation, then write the equation of g(x):
f(x)=-3x+2; g(x)=1/2f(x)
Vertical Shrink
g(x)=-3/2x+1
RANDOM REVIEW:
|x-2|=3
x=5, -1
RANDOM REVIEW:
Find the equation of a line (in slope intercept form) that passes through the points (-2, 3) and (10, 1).
y=-1/6x+8/3