Quadratic Transformations : Vertex Form

What is the vertex form of a quadratic function?

• f(x) = 2a(x - h)² + k

• f(x) = a(x - h)² + k

• f(x) = (x + h)² + k

• f(x) = a(x - h) - k

Tags

CCSS.HSA.SSE.A.2

CCSS.HSF.IF.C.8

What is the vertex for
f(x)=4(x-2)² + 3

• (-2, 3)
• (2,-3)
• (4,3)
• (2,3)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the vertex of the parabola: y=2(x-3)²+4

• (3,4)
• (-3,4)
• (3, -4)
• (-3,-4)

Tags

CCSS.HSA.SSE.A.2

What steps transform the graph y = x² to y = (x-4)²

• Shifted down 4 units

• Shifted left 4 units

• Shifted right 4 units

• Shifted up 4 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

Identify the vertex of f(x) = -2(x+1)² + 3

• (h,k)

• (3, 1)

• (-1,-3)

• (-1,3)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What are the coordinates of the vertex of the graph of the function y=-x²+6x-11?

• (3,-2)
• (3,16)
• (-3,-29)
• (-3,-20)

Tags

CCSS.HSA.REI.B.4

Which of the following is the correct equation for the given graph?

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

Tags

CCSS.HSF-IF.C.7A

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

• (5, -4)
• (-5, -4)
• (-15, -4)
• (15, -4)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

• right 3, down 2

• up 3, left 2

• left 3, up 2

• left 3, down 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Write a quadratic function in vertex form with vertex (-4, 6) that opens up

• f(x) = -2(x - 4)² + 6

• f(x) = (x + 4)² + 6

• f(x) = -2(x + 4)^{2 + 6}

• f(x) = (x - 4)² + 6

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8