Quadratic Transformations Review

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 f(x) =x² 
to
g(x) = -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

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

• reflection, vertical compression, horizontal right, vertical up
• vertical compression, horizontal shift left, vertical shift up
• reflection, horizontal shift right, vertical shift down
• no changes were made to y = x²

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

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

Which quadratic function is represented by the graph?

• y = 2(x - 4)² + 5
• y = 2(x + 4)² + 5
• y = -2(x - 4)² + 5
• y = -2(x + 4)² + 5

Tags

CCSS.HSF-IF.C.7A

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.HSF.BF.B.3

CCSS.HSA.REI.D.10

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.11

What transformations occurred to get f(x), the red graph, to become g(x), the blue graph?

• horizontal shift down and vertical shift left
• horizontal shift left and vertical shift down
• horizontal shift right and vertical shift up
• horizontal shift up and vertical shift right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

CCSS.HSG.CO.A.4

What is the vertex of the quadratic function: y=1/2  (x-3)²+8?

• (3,8)
• (-3,-8)
• (-3,8)
• (3,-8)

Which equation has a vertex of (-3, 4)?

• y = 2(x+3)² + 4
• y = (x+3)² - 4
• y = (x-3)² + 4
• y = 2(x - 3)² + 4

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

CCSS.HSA.REI.D.10

CCSS.HSA.CED.A.2

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