Exploring Transformations

For this Exponential Function

Using the parent function y=3^x

What would the graph of y=3^(x+1) look like?

• Horizontal shift left one unit

• Horizontal shift right one unit

• Vertical shift up one unit

• Vertical shift down one unit

• Vertically shift up 3

• Vertically shift down 3

• Horizontally shift right 3

• Horizontally shift left 3

• horizontal translation

• vertical translation

• horizontal dilation

• vertical dilation

For this Quadratic Function What steps transform the graph y = x² to y = (x - 4)²

• Shifted down 4 units

• Shifted left 4 units

• Shifted right 4 units

• Shifted up 4 units

If the blue is f(x)=x^2, the red must be

• g(x)=(x+3)²

• g(x)=(x-3)²

• g(x)=x²+3

• g(x)=x²-2

When doing Transformations of Quadratics, Absolute Value or Exponential Functions... The NUMBER INSIDE the (parenthesis) moves the graph which direction?

• Left and Right OPPOSITE

• Up and DOWN

• Side Ways

• Reflects

Describe the transformation: f\left(x\right)=\left(x+3\right)^2-2

• right 3, down 2

• up 3, left 2

• left 3, up 2

• left 3, down 2

Given f(x) = (x + 6)² - 2 , how did we transform from the parent function?

• Horizontal shift left 6, vertical shift up 2

• Horizontal shift left 6, vertical shift down 2

• Horizontal shift right 6, vertical shift down 2

• Horizontal shift right 6, vertical shift up 2

• Left 2

  Down 3

• Right 2

  Down 3

• Left 2

  Up 3

• Right 2

  Up 3