Transformations Quadratics Big Ideas

• up 3

• down 3

• right 1

• left 1

• across x axis

• upward

The parent function, f(x), is transformed so that it maps into g(x). Which equation would correctly represent g(x)?

(a)  

• g(x)=f(x - 3)

• g(x)=f(x + 3)

• g(x)=f(x) + 3

• g(x)=f(x) - 2

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

• compress

• stretch

Move the correct answer to each box. Not all answers will be used. ( (a)   , ​ (b)   )

• 3

• -9

• -3

• 0

• 9

Tags

AI.9.7.C

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

Mathematical Equivalence

ON

Describe the change shown in the graph and equation. f(x) is the parent function and g(x) is the new function f(x)= x² g(x)= (x+2)² − 3

• Moved 3 to the right and 2 up

• Moved 2 to the left and 3 down

• Stretched by a factor of 3 and moved 2 to the left

• Compressed (shrunk) by a factor of 2 and moved 3 down

• F

• G

• H

• J

• F

• G

• H

• J

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 f(x) =x² to g(x) = -3x²

• reflection in x-axis and vertical shift down

• reflection in x-axis and vertical stretch

• horizontal stretch

• reflection in x-axis and vertical compression