Free Printable Graphing Lines/Linear Transformations HW

Worksheets

Graphing Lines/Linear Transformations HW

Total questions: 30

Worksheet time: 8hrs 30mins

Name

Class

Date

What is the slope of the equation?

y = -2x - 1

-2

-2x

-1

What is the y-intercept in the equation

y= - 2x

-2

-2x

Find the slope.

Hint: rise/run

-5/3

-3/5

5/3

When you graph a line using slope-intercept form (y=mx+b), you graph the ___________ first and then use the ___________ to find the second point.

origin; slope

slope; y-intercept

y-intercept; x-intercept

y-intercept; slope

Which equation matches the graph?

y = 2x

y = 1/4 x + 2

y = 1x + 4

y = 2x - 3

Find the slope of the line.

Undefined

-1

Find the slope of the line.

Undefined

-1

Give the equation for the graph

y = 5x - 3

y = 4x + 2

y =-2x + 5

y = - 2x + 4

Graph. y = 2/3x - 3

10.

Which equation best represents the line on the graph?

y= 1/2x

y= -1/2x

y = 2x

y = -2x

11.

Which equation is being represented by this line?

y = -1x + 2

y = 1/2x + 2

y = 3x -4

y = -3x +2

12.

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 6. Describe the transformation.

g(x) is shifted up 6 units

g(x) is shifted down 6 units

g(x) is shifted left 6 units

g(x) is shifted right 6 units

13.

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

The graph of g is a vertical translation 2 units up of the graph of f

The graph of f is a horizontal translation two units left of g

The graph of g is a vertical stretch by a factor of 2 of the graph of f

The graph of g is a reflection of the graph of f

14.

Which transformation will occur if f(x) = x is replaced with 2f(x)?

Vertical stretch by a factor of 2

Vertical compression by a factor of 1/2

Vertical translation up by 2 units.

Horizontal compression by a factor of 1/2

15.

A student graphed f(x) = x and g(x) = ⅓f(x). Which statement is true?

The graph of f is steeper than the graph of g.

The graph of f is less steep than the graph of g.

The graph of f is shifted 2 units up to create the graph of g.

The graph of f is shifted 2 units to the right to create the graph of g.

16.

What is the linear parent function?

y = x

y = mx + b

f(x) = 2x

Not here

17.

If the graph of the parent function f(x) = x is shifted 7 units
down, which of the following equations would the new graphed
line represent?

f(x) = 7x

f(x) = x - 7

f(x) = x + 7

f(x) = 7x - 7

18.

Describe the transformation from the parent function: y = 3x + 5

Steeper; Shift up 5 units

Steeper; Shift down 5 units

Flatter; Shift up 5 units

Flatter; Shift down 5 units

19.

Which transformation on

f(x) = x

is g(x) = -f(x)

Reflection across the y-axis

The slope will be less steep

The graph will be wider

Reflection across the x-axis.

20.

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

Graph g is a reflection.

Graph g shifts down 2 units.

Graph g is steeper by a factor of 2

Graph g is less steeper by a factor of 1/2

21.

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

Graph g is less steep by a factor of 1/5

Graph g shifted down 1 unit

Graph g is steeper by a factor of 1/5

Graph g shifted up 2 units

22.

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

Graph g reflected

Graph g shifted up 2 units

Graph g reflected and shifted down 2 units.

Graph g reflected and shifted up 2 units

23.

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

Graph g shifted down 6 units

Graph g is steeper by a factor of 7

Graph g is less steep by a factor of 1/3

Graph g shifted up 6 units

24.

The graphs of linear functions f and g are shown on the grid.

Which function is best represented by the graph of g?

$g\left(x\right)\ =\ f\left(x\right)-6$

$g\left(x\right)=4f\left(x\right)$

$g\left(x\right)=f\left(x\right)-3$

$g\left(x\right)=\frac{1}{4}f\left(x\right)$

25.

The graphs of linear functions f and g are shown on the grid.

Which function is best represented by the graph of g?

$g\left(x\right)=f\left(x\right)+4$

$g\left(x\right)=f\left(x\right)+5$

$g\left(x\right)=3f\left(x\right)$

$g\left(x\right)=\frac{1}{3}f\left(x\right)$

26.

$f\left(x\right)=x$ and $g\left(x\right)=2x-4$
Which statement about the relationship of these two graphs is true?

The graph of g is steeper than the graph of f, and the y-intercept has been translated up.

The graph of g is less steep than the graph of f, and the y-intercept has been translated up.

The graph of g is less steep than the graph of f, and the y-intercept has been translated down.

The graph of g is steeper than the graph of f, and the y-intercept has been translated down.

27.

$f\left(x\right)=x$ and $g\left(x\right)=-\frac{2}{3}x$
Which statement about the relationship between these two graphs is true?

The graph of g is less steep than the graph of f.

The graph of g is less steep than the graph of f, and is reflected.

The graph of g is reflected, and the y-intercept is translated down.

The graph of g is steeper than the graph of f, and is reflected.

28.

$f\left(x\right)=x$ and $g\left(x\right)=-x+7$
Which statement about the relationship between these two graphs is true?

The graph of g is reflected and is translated up.

The graph of g is steeper than the graph of f and is reflected.

The graph of g is less steep than the graph of f.

The graph of g is reflected and is translated down.

29.

If the graph of the parent function f(x) = x is shifted 7 units up and is horizontally compressed by a factor of 3, what is the function?

g(x) = f(7x) + 3

g(x) = 3f(x) - 7

g(x) = f(3x) + 7

g(x) = 7x - 3

30.

How does the graph of g(x) compare to f(x)?

g(x) is steeper and shifted down from f(x)

g(x) is steeper and shifted up from f(x)

g(x) is flatter and shifted down from f(x)

g(x) is flatter and shifted up from f(x)

100 %

Graphing Lines/Linear Transformations HW

Total questions: 30

Worksheet time: 8hrs 30mins

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