Quadratic Functions (vertex form and standard form)

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

What is the axis of symmetry of the given function?

• x = 4

• y = -1

• x = 1

• x = -1

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

Identify the vertex and whether the graph opens up or down.

• (-1, 4); opens up
• (-1, 4); opens down
• (1, 4); opens up
• (1, 4); opens down

Tags

CCSS.HSF-IF.C.7A

Convert to vertex form.

• y=3(x+1)² - 8
• y=3(x-1) ² - 8
• y=3(x+2)² - 8
• y=3(x-2)² - 8

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

What is the vertex of y=x²+4x+3?

• (2,1)
• (-2,1)
• (0,0)
• (-2,-1)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Convert to vertex form.

• y=-(x-5)² + 21
• y=-(x+5)² + 21
• y=-(x+10)² + 21
• y=-(x-10)² + 21

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

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

Write the equation of the quadratic in standard form given the following:
axis of symmetry: x=1
Points: (2, 5) (-2, 21)

• f(x)=(x-1)²+5
• f(x)=1/2(x-1)²+3
• f(x)=2(x-1)²+3
• f(x)=2(x-1)²-3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.B.3

Comparing the functions, which is the most narrow?

• f(x)=3x²

• g(x)= -2x²

• h(x)=0.5x²

• a(x)=12x²

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

For a graph to be wider, the a value must be

• Very large number, regardless of sign

• Very small number, regardless of sign

• Negative number

• a=0

Tags

CCSS.HSF.BF.B.3