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Graphing Quadratic Functions
Contributed by: Kuester

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Find the equation of the axis of symmetry for

y = 2x2 + 4x -5

x = -1

x = 2

x = 1

x = ½

Find the equation for the axis of symmetry for

y = (x-5)2 + 6

x = -5

x = 6

x = -6

x = 5

 

Find the equation of the axis of symmetry for

y = 2(x - 5)(x + 1)

x = -2

x = 4

x = -3

x = 2

Find the vertex:  y = 2x2+ 8x - 1

(-2, -9)

(2, 23)

(1, 9)

(-1, -7)

Find the vertex: y = 2(x - 8)2 + 1

(-8, 1)

(8, 1)

(16, 1)

-16, 1)

Find the vertex: y = -2(x - 5)(x + 5)

(0, 25)

(5, 10)

(0, 50)

(-1, 8)

Write in standard form: y = 2(x - 1)(x + 2)

y = 2x2 + 4x - 4

y = 2x2 + 2x - 4

y = x2 + x - 2

y = 2x2 + x - 4

Write in standard form:  y = (x - 3)2 + 1

y = x2 - 6x + 10

y = x2 + 6x - 8

y = x2 - 6x - 8

y = x2 + 6x + 7

Write in standard form: y = 2(x - 5)2 - 8

y = x2 -10x +17

y = 2x2 - 20x + 17

y = 2x2 - 20x + 42

y = 2x2 -10x + 2

Indicate whether the graph has a minimum or

maximum value.  Then find the value.

y = 2(x - 1)2 + 5

Maximum, y = 5

Minimum, x = 1

Minimum, y = 5

Maximum, x = 1

Indicate whether the graph has a maximum or

minimum value.  Then find the value.

 y = 3(x - 4)(x + 2)

Maximum, y = 8

Minimum, y = -8

Minimum, y = -27

Maximum, y = -8

Indicate whether the graph has a minimum or

maximum value.  Then find the value.

 

y = -2x2 + 4x - 7

Minimum, y = -5

Maximum, y = -7

Minimum, y = -13

Maximum, y = -5 
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