Functions (linear)

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

Which function is best represented by the graph of g?

which equation represents a reflection of the graph of y=-2x+5 a cross the y-axis ?

• y = -2x+5

• y = -2x+5

• y =2x-5

• y = 2x+5

Which functions below represent a vertical compression? SELECT ALL THAT APPLY.

•  $2f\left(x\right)$  

•  $-\frac{1}{2}f\left(x\right)$  

•  $0.1f\left(x\right)$  

•  $-3.5f\left(x\right)$  

Describe what happen to the line 16x - 4y = 24

• Reflected over x, Four times as Steep, Moved down 6
• Reflected over x, Four times as Steep, Moved up 6
• Four times as Steep, Moved down 6
• Four times as Steep, Moved up 6

What is the definition of a translation?

• when an object is “flipped”

• when a line is made steeper

• The set of x values for a function

• a slide in any direction

Describe the transformation of f(x) that results in g(x):
g(x)=f(x-1)-5

• f(x) has been translated to the left one and down five.
• f(x) has been translated to the right one and down five.
• f(x) has been translated to the left one and up five.
• f(x) has been translated to the right one and up five.

Which transformation describes the equation from its parent equation? f(x-9)

• horizontal translation right 9 units

• vertical translation up 9 units

• vertical stretch by a factor of 9

• horizontal translation left 9 units

If the graph of the parent function f(x) = x is shifted 7 units up and is vertical stretch 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) = (1/3)x + 7

How do we represent a vertical stretching by scale factor 2 using function notation?

What transformation has occurred:

 $y=-\left(x\right)$  

• Vertical Stretch of 3

• Reflected over the x-axis

• Left 3

• Up 3