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densk [106]
3 years ago
8

Two functions are given below: f(x) and h(x). State the axis of symmetry for each function and explain how to find it.

Mathematics
1 answer:
Studentka2010 [4]3 years ago
3 0

Answer:

Step-by-step explanation:

f

(

x

)

=

−

4

(

x

−

8

)

2

+

3

Set the polynomial equal to  

y

to find the properties of the parabola.

y

=

−

4

(

x

−

8

)

2

+

3

Use the vertex form,  

y

=

a

(

x

−

h

)

2

+

k

, to determine the values of  

a

,  

h

, and  

k

.

a

=

−

4

h

=

8

k

=

3

Since the value of  

a

is negative, the parabola opens down.

Opens Down

Find the vertex  

(

h

,

k

)

.

(

8

,

3

)

Find  

p

, the distance from the vertex to the focus.

Tap for more steps...

−

1

16

Find the focus.

Tap for more steps...

(

8

,

47

16

)

Find the axis of symmetry by finding the line that passes through the vertex and the focus.

x

=

8

image of graph

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A garden is to be made in the form of an isosceles triangle. The equal side must be 4ft. Less than twice the base. The perimeter
Natali5045456 [20]
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Maurinko [17]
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<span>9x+7y=53 </span>
<span>3x+5y=25 </span>
<span>X=cost per pound of jelly bean </span>
<span>Y=cost per pound of trail mix </span>
<span>Multiply the second equation by (-3): </span>
<span>-9x-15y=-75 </span>
<span>+ 9x+7y=53 <---- copy first equation and add them </span>
<span>—————— </span>
<span>0x-8y=-22 </span>
<span>Then solve for y: </span>
<span>Y=2.76 this is your cost per pound of trail mix. </span>
<span>Then plug y back in to one of the original equations and solve for x: </span>
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