Transforming Quadratics

Which function has a translation of 3 units to the left?

• f(x) = 3x²+1
• f(x) = (x + 3)² + 1
• f(x) = (x - 3)² + 1
• f(x) = (x + 1)²- 3

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

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

How is the graph of y = 2x²+ 3 different from the graph of y = 2x²?

• It is shifted 3 units left.
• It is shifted 3 units right.
• It is shifted 3 units down.
• It is shifted 3 units up.

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which quadratic is the narrowest graph?

• y = 3x²
• y = 4x²
• y = 2x²

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which quadratic is wider than the graph of y = 4x² + 5?

• y = 4x² + 5
• y = 5x² + 5
• y = 0.25x² + 5
• y = 0.75x²+5

Which quadratic graph is the widest?

• y = 5x²
• y = -¼x²
• y = -½x²
• y = 5x²

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7