Graphing linear functions

Which of the following is equivalent to

 $f\left(x\right)=6x-12;\ shift\ 4\ unites\ to\ the\ right$  

• shifted down 24 units 

•  $f\left(x\right)=6x+12$  

•  $f\left(x\right)=6x-36$  

•  $f\left(x\right)=6x+36$  

Describe the transformation(s) in the function g(x) = -x as it relates to the graph of f(x) = x.

• Reflection across the y-axis

• Narrower

• Vertical translation up by 2 units.

• Reflection across the x-axis.

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 7. Does this result in a horizontal or vertical translation?

• vertical

• g(x) is shifted left 3 units

• horizontal

translation up 1

• f(x) + 1

• f(x - 1)

• f(x) - 1

• f(x + 1)

A student graphed f(x) = x and g(x) = f(x + 4). 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 4 units up to create the graph of g.

• The graph of f is shifted 4 units to the left to create the graph of g.

Identify the transformation applied to the function h(x) = -2x when it is reflected over the x-axis.

• h(x) = -2x + 1

• h(x) = -2x

• h(x) = 2x

What is the rule for the dilation pictured below?

• (x, y) → (½x, ½y)

• (x, y) → (x + 2, y + 2)

• (x, y) → (x + 2, y + 2)

• (x, y) → (2x, 2y)

Explain the MOVEMENTS of the slope:

 $y=-11+\frac{12}{5}x$  

• Up 12 Right 5

• Up 12 Left 5

• Down 12 Right 5

• Down 12 Left 5

The slope of the line y = 2x + 3/4 is changed to -5 but the y-intercept remains the same. What is the equation of the new line?

• Y = 2x -5

• Y = -5x + 2

• Y = -5x + 3/4

• Y = -7x + 3/4

The graphs of linear functions of f and g (blue line) are show on the grid. Which function is best represented by the graph of g?