Transform Functions

Describe the transformations: y = x² to y = 2(x+3)² - 5?

• Horizontal Stretch by 2, shift 3 units left and 5 down

• Horizontal Stretch by 2, shift 5 units left and 3 up

• Vertical Stretch by 2, shift 3 units left and 5 down

• Vertical Shrink by 1/2, shift 5 units left and 3 up

Which equation below is a quadratic function translated up 5 units?

• y = x² + 5

• y = (x + 5)²

• y = 5x²

• y = -x² - 5

What transformations have occurred? 

• Right 2 and up 2

• Left 2 and up 2

• Right 2 and down 2

• Left 2 and down 2

If the blue graph is
f(x) = x² 
then the red must be...

• g(x) = x² - 5

• g(x) = x² + 5

• g(x) = (x - 5)²

• g(x) = (x + 5)²

What is the horizontal shift of this equation?
y = -(x + 3)² - 5

• left 3

• right 3

• left 5

• right 5

What is the equation of the quadratic function obtained from horizontally shifting the parent function 17 units left and then reflecting across the x-axis?

• f(x)= -x²-17

• f(x)= -(x-17)²

• f(x)= -(x+17)²

• f(x)= -x²+17

Which transformation will occur if f(x) = x is replaced with f(x) + 2?

• Translation left 2 units

• Translation right 2 units

• Vertical translation up by 2 units.

• Reflection across the x-axis.

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

• Shift right by 4

• Shift left by 4

• Horizontal Stretch by 4

• Vertical Stretch by 4

• Shift down by 4

What is the vertical shift of this equation?
f(x) = -(x + 3)² - 5

• left 5

• right 5

• up 5

• down 5