Points
f(x) has a point on its line at (0,-7). Where is that point moved to if f(x) is translated to the right 3 units and up 4 units?
(3,-3)
Describe the translation.
f(x-4)
move to the right 4
Name the transformation.
-f(x)
reflection across the x-axis
Name the transformations.
-g(x+2)+5
shift to the left 2 units, reflect across the x-axis, and shift up 5 units?
Name the transformations.
2g(x+12)
horizontal shift to the left 12 units AND a vertical stretch by a factor of 2?
The first woman pilot to fly solo across the Atlantic
Amelia Earhart
(-6,7) is reflected over the x-axis. Name the new location of the point.
(-6,-7)
Describe the translation.
f(x-2)+4
move right 2 and up 4?
Name the transformation.
2g(-x)
reflection over the y-axis AND stretch vertically by a factor of 2
Name the transformations.
2g(x-1)
What is a horizontal shift to the right 1 unit AND a vertical stretch by a factor of 2?
Name the transformations.
g(-x)+1
reflection across the y-axis AND a shift up 1 unit?
The name of the actor who voiced Groot in the Guardians of the Galaxy movies
Vin Diesel
A quadratic function y=f(x) is plotted on a graph and the vertex of the resulting parabola is (−3,6). What is the vertex of the function defined as g(x)= -f(x)+4?
(-3,-2)
Describe the translation.
g(x+5)-7
move to the left 5 units and down 7 units
Name the transformation.
-2g(x)
reflection over the x-axis and vertical stretch by a factor of 2
Describe the transformations.
-1/4g(x)-6
What is a reflection over the x-axis, a vertical compression by a factor of 1/4, and a vertical shift down 6 units?
Name the transformations.
f(2/3x)-5
horizontal stretch with a factor of 3/2 (Multiply my x-coordinates by 3/2) AND a shift down 5 units
Date known as Star Wars Day?
May 4th
y=f(x) is plotted and the maximum point is at (-6,3). Name the new point if g(x)= -f(x-4)
(-2,-3)
Describe the translation.
f(x+1/2)-3/2
move to the left 0.5 units and down 1.5?
Name the transformations.
-f(1/2x)
reflection across the x-axis AND horizontal stretch by a factor of 2
Name the transformations.
g(2x)-9
What is a horizontal compression by a factor of 1/2 AND a vertical shift down 9 units?
Name the transformations.
3f(2x)
horizontal compression (Multiply my x-coordinates by 1/2) AND a vertical stretch by a factor of 3
Name of Walt Disney's favorite princess?
Cinderella
A point on the original function f(x) is (1,-4). Name the new coordinate of that point if g(x) = -2f(x+3).
(-2,8)
Describe the translation.
f(x-4.5)-2.5
move to the right 4.5 units and down 2.5 units
Name the transformations.
-4g(3x)
horizontal compression by a factor of 1/3 AND a reflection across the x-axis AND a vertical stretch by a factor of 4
4f(x-3)+5
shift right 3 units, a stretch vertically by a factor of 4 (multiply your y-coordinates by 4), and then shift up 5 units
Name the transformations.
f(-2x-3)-7
What is a horizontal shift to the right 3 units, a reflection across the y-axis, a horizontal compression by a factor of 1/2, AND a shift down 7 units?
The first sport invented
wrestling