Dol Quadratic Transformations Saphria Singleton

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

Parent function, f(x) = x². Write the equation that would produce the transformed function, h(x), when the parent function is translated three units left, vertically compressed with a scale factor of one-third, and vertically translated down one unit.

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

Mathematical Equivalence

ON

a

b

c

d

Horizontal Translation

Horizontal Dilation

Vertical Translation

Vertical Dilation

• Reflected

• Left 3

• Right 3

• Down 2

• Up 2

• compress

• stretch

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

• reflection across the line x = -4

• reflection across the line y = -4

• translation shifting f(x) 4 units to the left

• translation shifting f(x) 4 units to the right

Match the equation to its description.

• Vertically stretched by 2 and shifted up 4

• Vertically compressed by 2 and shifted up 4

• Vertically stretched by 2 and shifted left 4

• Vertically compressed by 2 and shifted left 4

How did we transform from the parent function?
y = x² + 2

• horizontal shift up

• vertical shift up

• horizontal shift down

• vertical shift down

How did we transform from y=x^2?

y = -3x²

• vertical reflection and vertical shift down

• vertical reflection and vertical stretch

• horizontal stretch

• vertical reflection and vertical compression