T1: Transformations
The line segment connecting (0,3) and (2,7) is translated up 4 units. What are the new coordinates?
(0, 7) and (2, 11)
The dimensions of a building are: (2x+2)(6x+1). Write the area of the building as a product equal to its sum.
(2x+2)(6x+1)=12x2+14x+2
What is the slope of the line connecting (7,2) and (11,5)?
3/4
Write the equation of this function using function notation.
X: 0 2 5 7
Y: 3 7 13 17
f(x)=2x+3
The line segment connecting (1,2) and (3,4) is reflected across the y-axis. What are the new coordinates?
(-1,2) and (-3,4)
The dimensions of a building are: (8x-2)(6x+2). Write the area of the building as a product equal to its sum.
(8x-2)(6x+2)=48x2+4x-4
Write an equation of a line that is parallel to y=5/3x+7?
y=5/3x+B; B can have any real value
Write the equation of this function using function notation.
X: 0 2 5 7
Y: 4 4 4 4
f(x)=4
The line segment connecting (1,5) and (3,2) is rotated clockwise about the origin 180 degrees. What are the new coordinates?
(-1,-5) and (-3,-2)
The dimensions of a building are: (2x-1)(8x-5). Write the area of the building as a product equal to its sum.
(2x-1)(8x-5)=16x2-18x+5
Write an equation of a line that is perpendicular to y=7/3x+7?
y=-3/7x+B; B can have any real value
Write the equation of this function using function notation.
X: -1 2 5 7
Y: -1 -4 -7 -9
f(x)=-x-2
The line segment connecting (1,5) and (3,2) is rotated counterclockwise about the origin 270 degrees. What are the new coordinates?
(5,-1) and (2,-3)
The dimensions of a building are: (4x+2)(6x2-x+2). Write the area of the building as a product equal to its sum.
(4x+2)(6x2-x+2)=24x3+8x2+6x+4
Write the equation of the line that passes through (2,7) and is perpendicular to y=-1/3x?
y=3x+1
Write the equation of this function using function notation.
X: -1 2 5 7
Y: -4.5 -3 -1.5 -0.5
A: f(x)=½x-4