Y
=
y=
 
 
x
2
+
5
x
2
+5

Direction: Opens Down

Vertex:  

(

5

2

,

17

4

)

Focus:  

(

5

2

,

4

)

Axis of Symmetry:  

x

=

5

2

Directrix:  

y

=

9

2

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.

Tap for more steps...

x

y

0

−

2

1

2

5

2

17

4

3

4

4

2

Graph the parabola using its properties and the selected points.

Direction: Opens Down

Vertex:  

(

5

2

,

17

4

)

Focus:  

(

5

2

,

4

)

Axis of Symmetry:  

x

=

5

2

Directrix:  

y

=

9

2

x

y

0

−

2

1

2

5

2

17

4

3

4

4

2

Step-by-step explanation:nn

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: