Functions Transformations

Given the original exponential function defined by y=4^x, how would the graph change if the function were: y=2(4)^x-3+1?

• Vertically stretched by a factor of 2, right 3, and up 1

• Vertically compressed by a factor of 1/2, left 3 and down 1

• Vertically compressed by a factor of 1/2, right 3, and down 1

• Vertically stretched by a factor of 2, left 3, and up 1

Which function represents the table of values?

• f(x) = 4x

• f(x) = x⁴

• f(x) = 4^x

• f(x) = 4^x-1

Does this table represent exponential growth or decay?

• Growth

• Decay

How did the equation shift from the parent function? y=(x)+2

• Shift up 2

• Shift down 2

• steeper

• flipped

How did the equation shift from the parent function? y=(x-3)+5

• 3 right, 5 up

• 3 left, 5 up

• 3 Down

• Moved 5 right

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

How did the equation shift from the parent function? y = (x - 4)

• Shift right by 4

• Shift left by 4

• Horizontal Stretch by 4

• Vertical Stretch by 4

If the graph of the parent function f(x) = x is shifted 7 units up 5 left, what is the function?

• f(x) = (x+5)+7

• f(x) = (x+7)-5

• f(x) = x+12

• f(x) = 7x - 3

Is the function Linear or Nonlinear?

• Linear

• Nonlinear

How did the equation shift from the parent function? y=(x)+7

• Up 7

• Down 7

• Less steep

• Steeper