Transformations of Quadratics/Review Stuff

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

Which function has a translation of 2 units right and a vertical stretch by a factor of 5?

• f(x)= 5(x - 2)²
• f(x) = 5(x + 2)²
• f(x) = (x - 2)² - 5
• f(x) = (x + 2)² + 5

Tags

CCSS.HSG.CO.A.2

Which function has a translation of 7 units down and reflects over the x-axis?

• f(x) = -(x - 7)² + 1
• f(x) = (x + 7)² + 1
• f(x) = -(x - 1)² - 7
• f(x) = (x + 1)² - 7

Tags

CCSS.HSG.CO.A.2

What describes the effect on the graph of the equation y = 3x² when it is changed to y = -¾x²?

• The graph is congruent and is translated down.
• The graph is wider and opens downward.
• The graph is congruent and is translated up.
• The graph is narrower and opens downward.

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

How will the graph of f f(x) = 3x² - 1 be affected if x² becomes (x - 2)^2?

• The vertex of the graph will move left 2 units.
• The vertex of the graph will move up 2 units.
• The vertex of the graph will move right 2 units.
• The vertex of the graph will move down 2 units.

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Consider a parabola that opens upward and has a vertex (-1, 3). Now find the equation of a new parabola that is reflected over the x-axis and translated 2 units down.

• y = -(x - 3)² + 3
• y = -(x - 1)² +2
• y = -(x + 1)² + 1
• y = -(x + 1)_² - 2

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

Transformation: 
Which equation would represent a parabola that is WIDER than the parent function, f(x) = x²? 

• g(x) = x² + 4
• g(x) = 4x² 
• g(x) = x² - 4 
• g(x) = ¹/₄x² 

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

What's another way to write the following (before you do box method): 
(x - 3)²

• (x - 3)(x - 3)
• (x - 3) + (x - 3)
• 2(x - 3)
• 2 + (x - 3)

Transformation: 
Which of the following describes the transformation of the graph g(x) = x² + 5 from the parent function? 

• Translate 5 units up
• Translate 5 units down
• Translate 5 units to the right
• Translate 5 units to the left.

Tags

CCSS.HSG.CO.A.2

Transformation: 
Which describes the transformation of the graph f(x) = x² to the graph of g(x) = 5f(x) ?

• The graph of g(x) is wider.
• The graph of g(x) is narrower
• The graph of g(x) reflects
• The graph of g(x) is to the right