Quadratic Transformation

Which transformation maps the graph of f(x) = x² to the graph of g(x) = (x + 4)²?

• a reflection across the x-axis

• 4 units up

• 4 units to the left

• 4 units to the right

Match the equation to its description.

• Vertical Stretch by 2 and up 4

• Vertical Compression by 2 and up 4

• Vertical Stretch by 2 and left 4

• Vertical Compression by 2 and left 4

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 transformations have occurred? 

• Right 2 and up 2

• Left 2 and up 2

• Right 2 and down 2

• Left 2 and down 2

Identify the possible functions that matches each specific transformation listed from the parent function f(x) = x^2

a

b

c

d

Describe the Transformation of the function; ​ (a)  

• Vertical Compression

• Vertical Stretch

• Horizontal Shift RIGHT

• Horizontal Shift LEFT

• Reflection over the X-Axis

• Vertical Shift DOWN

• Vertical Shift UP

a

b

c

d

Horizontal Dilation

Horizontal Translation

Vertical Dilation

Vertical Translation

Label how each number transforms the function

b

c

d

e

Moves up 7

Stretched by a factor of 2

Right 3

Reflected over the x-axis

Left 3

• Reflection over x-axis

• None of these

"a" causes the parabola to vertically ​ (a)   when a > 1.

• stretch

• compress