Converting Quadratics

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

How did we transform from the quadratic parent function of y=x² to

y = -3x²

• reflection in x-axis and vertical shift down

• reflection x-axis and skinny

• horizontal stretch

• reflection x-axis and wide

Which of the following represents the quadratic parent function of y = x²  shifted right 7 units?

• A
• B
• C
• D

How did we transform from the parent function y = x² to y = -1/5(x - 1)² + 7 ?

• reflection, wide, horizontal right, vertical up

• skinny, horizontal shift left, vertical shift up

• reflection, horizontal shift right, vertical shift down

• no changes were made to y = x²

How did we transform the quadratic parent function y=x² to the quadratic function y = -3x² ?

• reflection and wide

• reflection and skinny

• horizontal stretch

• reflection and vertical compression

Which of the following describes the transformations done to the quadratic parent function of y = x² to obtain y = 2x² + 4 ?

• Wide by 2 and translation up 4

• Skinny by 2 and translation up 4

• Wide by 2 and translation left 4

• Skinny by 2 and translation right 4

If the quadratic function is f(x) = x²what would the 5 do to f(x) if it transformed to g(x)=5(x+3)²-10?

• Skinny by 5

• Wide by 5

• Reflect

• Move up 5

What transformations occurred to the quadratic parent function f(x) = x² when transformed into g(x)=1/2(x+9)²-1?

• Reflect, wide by 1/2, left 9, down 1

• Wide by 1/2, left 9, down 1

• Skinny by 1/2, right 9, down 1

• Skinny by 1/2, left 9, down 1

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

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

• g(x) = (x + 3)²
• g(x) = (x - 3)²
• g(x) = x² + 3
• g(x) = x² - 2