Question

draw the graph of 2x2 -11x+12

Answer 1

f

(

x

)

=

2

x

2

−

2

x

−

12

Find the properties of the given parabola.

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Direction: Opens Up

Vertex:  

(

1

2

,

−

25

2

)

Focus:  

(

1

2

,

−

99

8

)

Axis of Symmetry:  

x

=

1

2

Directrix:  

y

=

−

101

8

Select a few  

x

values, and plug them into the equation to find the corresponding  

y

values. The  

x

values should be selected around the vertex.

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x

y

−

2

0

−

1

−

8

1

2

−

25

2

1

−

12

2

−

8

Graph the parabola using its properties and the selected points.

Direction: Opens Up

Vertex:  

(

1

2

,

−

25

2

)

Focus:  

(

1

2

,

−

99

8

)

Axis of Symmetry:  

x

=

1

2

Directrix:  

y

=

−

101

8

x

y

−

2

0

−

1

−

8

1

2

−

25

2

1

−

12

2

−

8

Answer 2

Answer:

The graph of the given function:

$f(x)=2x^2-11x+12$

is an upward parabola whose minimum is at point ($\dfrac{11}{4}$,$\dfrac{-25}{8}$).

also it has x-intercept at ($\dfrac{3}{2}$,0) and (4,0)

and it has y-intercept at (0,12).