Understanding Quadratic Functions

This is a quadratic function, its graph is called a parabola.  A parabola is U shaped graph that opens upward U or downward  $\cap$  . Notice the equation. It is a quadratic equation, The standard form of a quadratic equation is  $ax^2+bx+c=y\$  (We just finished factoring quadratic expressions.) 

 The parabola turns around at the point called the Vertex. The vertex is either the highest point (Maximum) or lowest point (Minimum).

 If it is at the top, that point is the maximum. If the vertex is at the bottom, that is the minimum or lowest point. In the given parabola, where is the vertex located?

• maximum, highest 

• minimum, lowest point

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CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSG.GPE.A.2

Does this function have a maximum or minimum?

• maximum

• minimum

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The maximum of a quadratic function is

• The highest point (vertex) on a graph when a parabola opens down; the point where the graph changes from increasing to decreasing
• The lowest point (vertex) on a graph when a parabola opens up; the point where the graph changes from decreasing to increasing

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The minimum of a quadratic function is

• The lowest point (vertex) on a graph when a parabola opens up; the point where the graph changes from decreasing to increasing
• The highest point (vertex) on a graph when a parabola opens down; the point where the graph changes from increasing to decreasing

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CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

When a parabola opens downward the vertex is

• a minimum
• a maximum
• a vertex
• a parabola

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CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

Tags

CCSS.HSA.REI.D.10

When a parabola opens upward the vertex is

• a minimum

• a maximum

• a vertex

• a parabola

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The standard form of a quadratic equation is

• y=x²

• y=ax²+bx+c

• y=mx+b

• y=x

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CCSS.HSA.CED.A.1

CCSS.HSA.SSE.B.3

The graph of a quadratic function is called

• a line
• a hyperbola
• a parabola
• a cubic

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CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSG.GPE.A.2

Name the vertex (x,y) or where the quadratic function turns around?

• (0, -3)

• (1, -4)

• (-2, 5)

• {-1, 3}

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7