Understanding Graphs of Quadratic Functions

Standard form of a quadratic equation

• y=x²

• y=ax²+bx+c

• y=mx+b

• y=x

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CCSS.HSA.CED.A.1

The graph of a quadratic function is called a

• Parabola

• Vertex

• Axis of Symmetry

• Vertex Form

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CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the green dot on the parabola called?

• vertex

• line of symmetry

• solution

• function

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CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the axis of symmetry?

• the slope of the graph

• the dividing line for a parabola

• a way to spin my pencil

• the x-axis

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CCSS.HSG.GPE.A.2

Does the quadratic have a max/min vertex, and does the parabola open up/down?

• max/ opens down

• min/ opens up

• max/ opens up

• min/ opens down

Does this parabola have a maximum or minimum and does it open up or down?

• Maximum; up

• Minimum; down

• Maximum; down

• Minimum; up

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CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Does

y = -4x²

have a maximum or minimum value? Does it open up or down?

• maximum; down

• minimum; up

• minimum; down

• maximum; up

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CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Does

y = 4x²

have a maximum or minimum value? Does it open up or down?

• maximum; down

• minimum; up

• minimum; down

• maximum; up

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CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the vertex of this graph? Where is the line of symmetry located?

• (0, 0); x-axis

• (0, 0); y-axis

• y=x²; x-axis

• y=x²; y-axis

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CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Where is the line of symmetry located? What is the equation for the line of symmetry?

• x-axis; y = 0

• y-axis; x=0

• x-axis, x = 0

• y-axis, y = 0

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CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10