Functions (linear)

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

• f(x) = 7x

• f(x) = x - 7

• f(x) = 7x - 7

• f(x) = x + 7

What is a transformation:

• The movie about robots and cars

• The change in a formation(on a graph)

• A coordinate plane

• A graph

Answer explanation

The correct choice is 'y=x-1 is SHIFTED DOWN 1 unit from y=x' as the second equation is obtained by shifting the first equation down by 1 unit.

Which transformation makes the graph of f(x) steeper by a factor of 8?

• 8f(x)

• f(x) + 8

• f(x) - 8

• f(x) + 6

The parent function f(x) is translated up 2 units resulting in g(x). g(x) is equal to what?

• g(x)=2f(x)

• g(x)= f(x) + 2

• g(x) = f(x) - 2

When the linear function y = 4x - 1 is reflected over the y-axis, what is the new equation?

• y = -4x - 1

• y = 1 - 4x

• y = -4x + 1

• y = 4x + 1

Compare the function

 $n\left(x\right)=\frac{1}{3}x$  to the parent function $f\left(x\right)=x$  

• Vertical Translation Up 1/3 units

• Vertical Translation Down 1/3 units

• Vertical Stretch by a factor of 1/3

• Vertical Compression by a factor of 1/3

• Reflection over the x-axis

What function describes a transformation of 5 units down?

• f(x) - 5

• f(x) + 5

• f(x-5)

• f(x+5)

Which function moves left 3 and down 4?

 Which of the following describe the transformations for the function  $f\left(x\right)=-\left(x-3\right)+5$  ?

• reflect across the y-axis, shift 3 to the right and up 5

• reflect across the x-axis, shift 3 to the right and up 5

• reflect across the y-axis, shift 3 to the left and up 5

• reflect across the x-axis, shift 3 to the left and up 5