Quadratic Transformations Review

Which transformation transforms the graph of

f(x) = x² to the graph of

g(x) = (x + 4)²?

• a vertical shift 4 units up

• a vertical shift 4 units down

• a horizontal shift 4 units to the left

• a horizontal shift 4 units to the right

How did we transform from f(x) =x²

to

g(x) = -3x²

• reflection over x-axis and vertical shift down

• reflection over x-axis and vertical stretch

• horizontal stretch

• reflection over x-axis and vertical compression

How did we transform from the parent function?

g(x) = -1/5(x - 1)² + 7

• reflection, vertical compression, horizontal shift right, vertical shift up

• vertical compression, horizontal shift left, vertical shift up

• reflection, horizontal shift right, vertical shift down

• no changes were made to y = x²

In the equation f(x)=5(x+3)²-10 what does the 5 do?

• Vertical stretch by 5
• Horizontal compress by 5
• Reflect
• Move up 5

Tags

CCSS.HSF.BF.B.3

What is the vertical shift of this equation?
f(x) = -(x + 3)² - 5

• left 5
• right 5
• up 5
• down 5

Tags

CCSS.HSF.BF.B.3

Does the graph of this equation widen or narrow from the parent function?
g(x) = 3/4 (x - 5)² + 12

• widen
• neither
• narrow

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

What is the horizontal shift of this equation?
f(x) = 3/4 (x - 5)² + 12

• up 5
• down 5
• left 5
• right 5

Tags

CCSS.HSF.BF.B.3

What is the vertical shift of this equation?
g(x) = 3/4 (x - 5)² + 12

• up 12
• down 12
• left 12
• right 12

Tags

CCSS.HSF.BF.B.3

Does the graph of this equation open up or down? 
f(x) = -(x + 3)² - 5

• up
• down

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.BF.B.3