Transformations Inside
A transformation inside the parentheses will cause the line to move which direction? Ex: f(x)=(x-2)
Vertically OR Horizontally
Horizontally. Remember that the transformation will always be the OPPOSITE of the sign shown INSIDE. So this line will be 2 units to the RIGHT since it's a -2.
What is the slope of a line that is PARALLEL to the line y=4/3x + 7 ?
Slope: 4/3
A transformation outside the parentheses will cause the line to move which direction? Ex: f(x)=x+2
Vertically OR Horizontally
Vertically
Question 1
B. y=10, slope is zero
A transformation that includes a number being multiplied will affect the ________ of the line.
Ex: f(x)=x , g(x)=4(f)x
steepness
What is the slope of a line that is PERPENDICULAR to the line y=3x-9 ?
Slope: -1/3
f(x)=x, g(x)=f(x) + 4
moving up 4 units
What is the slope of the line with points (3,7) & (-4,2)?
5/7
What affect will the following transformation have on a function?
f(x)=x , g(x)=f(x+5)
Left 5 units
What is the relationship between the parallel & perpendicular slope of the same line?
Ex: parallel slope is 4/3 & perpendicular slope is -3/4
Describe the transformation below:
f(x)=x, g(x)=1/2x
the line will be less steep/ laying down more
Question 3
Which variable will change?
Add 1 to each _ value.
What does the x value HAVE to be in the y-intercept?
(0,5)
Question 2
D. Left 1 unit
Question 6
y=3.2x+9.6
Describe the transformation below:
f(x)=x, g(x)=2f(x) -3
The line will become steeper and will move down 3 units.
Question 7
y=1/4x+2
Question 4: Write 2 points that you would use to graph your line.
Varies.
(0,0), (1,3), (2,6), (3,9)
Question 5
y=3/2x-6
Describe the transformation below:
f(x)=x, g(x)=3f(x-1) +4
line becomes more steep, moves to the right 1 and up 4
Question 8
E. the zero of the function is 8