transformations of 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

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

How did we transform from y=x² to
y = -3x²

• reflection in x-axis and vertical shift down
• reflection x-axis and vertical stretch
• horizontal stretch
• reflection x-axis and vertical compression

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.4

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.11

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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