5.5 Write Equations of Quadratics

Which equation best represents 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.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the vertex form of this quadratic?

• f(x) = -(x + 2)² - 4
• f(x) = (x - 2)² + 4
• f(x) = (x - 2)² - 4
• f(x) = -(x - 2)² - 4

Which equation represents this graph.

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the vertex form for a vertex of (-3,-5) and when a=-2?

• y = -2(x-3)²+5
• y = -2(x+3)²+5
• y = -2(x+3)²-5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSF.BF.A.1

CCSS.HSF.IF.C.7

Write the equation of the quadratic in vertex form given the following:
vertex: (4, -2)
point: (0,-6)
opens down

• f(x)=(x-4)²-2
• f(x)=-4(x-4)²-2
• f(x)=1/4(x+4)²-2
• f(x)=-1/4(x-4)²-2

Tags

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.A.1

Which Quadratic function has a vertex at (-2,7) and opens down?

• y = -3(x + 2)² + 7
• y = (x - 2)² + 7
• y = -12(x + 2)² - 7
• y = -2(x - 2)² + 7

• A

• B

• C

• D

y=2x²-6x+1 is in what form?

• Vertex Form
• Factored form
• Standard Form 
• Cannot be determined

Tags

CCSS.HSA.SSE.B.3

This is what form? y = 5(x+2)(x-1)

• Standard

• Vertex

• Factored

• None of These

Write a quadratic equation given the x intercepts and one other point.

Step 1: Write the factors.

The intercepts of this function are (6, 0) and (8, 0). Write the factors.

• (x-6) and (x-8)

• (x+6) and (x+8)

• (x-6) and (x+8)

• (x+6) and (x-8)

Tags

CCSS.HSF-IF.C.7A