Quadratic Translations and Dilations

• g(x)=2x²
• g(x)=0.5x²
• g(x)=x²+2
• g(x)=(x+2)²

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

• g(x)=x²-5

• g(x)=x²+5

• g(x)=(x-5)²

• g(x)=(x+5)²

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

• a translation shifting f(x) 4 units up

• a translation shifting f(x) 4 units down

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

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

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

• a vertical translation 4 units up

• a vertical translation 4 units down

• a horizontal translation 4 units to the left

• a horizontal translation 4 units to the right

Describe the translation of f(x) = x² 
when g(x) = (x + 5)² - 2.

• Right 5 and down 2

• Left 5 and down 2

• Right 5 and up 2

• Left 5 and up 2

Which equation below is a quadratic function translated left 4 units?

• y = x² + 4

• y = (x + 4)²

• y = (x - 4)²

• y = 4x²

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

• y = x² + 5

• y = (x + 5)²

• y = 5x²

• y = -x² - 5

The graph of quadratic parent function f was transformed to create the graph of g(x) = f(x - 2) + 6. Complete the sentence about the transformation.

The graph of f is translated 2 units​ ​ (a)   ​ and 6 units ​ (b)   to create the graph of function g.

• right

• up

• reflected

• left

• down

Which equation represents a parent function y = x² translated 4 units to the right and 1 unit up?

• y = (x + 4)² + 1

• y = (x - 4)² + 1

• y = (x + 1)² + 4

• y = (x - 1)² + 4

How would you describe the translation from f(x)=x²  to  f(x)=x²+5 ?

• Horizontal translation: five units to the right

• Horizontal translation: five units to the left

• Vertical translation: five units up

• Vertical translation: five units down