Equations
What is a parallel slope for y=(3/4)x+17
3/4
Aleisha graphed f(x) and g(x)=f(x+1) on the same coordinate grid. Describe what translation happened to f(x) to produce g(x).
f(x) was translated to the left 1 unit
Describe the transformation to f(x)=x to produce g(x)=f(x)-3
vertically translated down 3
Describe the transformation to f(x)=x to produce g(x)=f(3x) and write the new slope
Horizontally dilated by a factor of 3
New slope is 1/3
Describe the transformation to f(x)=x to produce g(x)=5f(x) and write the new slope
Vertically dilated by a factor of 5
New slope is 5
What is the perpendicular slope to y=(8/7)x+13
-7/8
Write g(x) in general form.
g(x) = f(x + 2)
g(x)=x+2
Write g(x) in general form.
g(x) = f(x)-7
g(x)=x-7
Write g(x) in general form.
g(x) = f(7x)
g(x)=1/7x
Write g(x) in general form.
g(x) = 8f(x)
g(x)=8x
Write the equation of the line that is perpendicular to
y=-3/4x+2 and passes through the point (3, -8) in slope intercept form.
y= 4/3x - 12
Create an equation to show f(x) is translated to the right 7 units
g(x)=f(x-7)
Create an equation to show f(x) is translated to the down 7 units
g(x)=f(x)-7
Create an equation to show f(x) is horizontally dilated by a factor of 4/5
g(x)=f(4/5x)
Create an equation to show f(x) is vertically dilated by a factor of 4/5
g(x)=4/5f(x)
Write the equation in slope-intercept form.
The slope is 1/3. The point (-6,5) lies on the line.
y = 1/3x + 7
Create an equation to show f(x) is translated to the left 8 units
g(x)=f(x+8)
Create an equation to show f(x) is translated to the up 8 units
Create an equation to show f(x) is horizontally dilated by a factor of 18.
g(x)=f(18x)
Create an equation to show f(x) is vertically dilated by a factor of 21
g(x) = 21f(x)
If f(x)=21x-5, find f(3).
58
Describe the transformation to f(x)=x to produce g(x)=f(x-6)
horizontally translated right 6 units
Describe the transformation to f(x)=x to produce g(x)=f(x)-13
Vertically translated down 13
Describe the transformation to f(x)=x to produce g(x)=f(2/3x) and write the new slope
Horizontally dilated by a factor of 2/3
New slope is 3/2
Describe the transformation to f(x)=x to produce g(x)=2/3f(x) and write the new slope
Vertically dilated by a factor of 2/3
New slope is 2/3