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tino4ka555 [31]
2 years ago
10

Let f(x)=2x2−8 .

Mathematics
2 answers:
Ierofanga [76]2 years ago
7 0

Answer:

g(x)=2x^2-10

Step-by-step explanation:

The function f(x) is given by

f(x)=2x^2-8

The quadratic function g(x) is obtained by translating f(x) 2 units down.

We use the below rule to find the equation for g (x)

Rule:- If a function f(x) is translated 'c' units down then the equation of the translated function be f(x)-c

Here, f(x) is translated 2 units down to obtain g(x).

Hence, we have

g(x)=f(x)-2\\\\g(x)=2x^2-8-2\\\\g(x)=2x^2-10

MrRa [10]2 years ago
3 0
Move down c units means minus 2 from whole function

f(x) moved down 2 units means f(x)-2
so

f(x)-2=2x²-8-2
f(x)-2=2x²-10


g(x)=2x²-10
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Keith works 8 hours per day for 5 per week. melba works 2,250 minutes each week. who spends more time at work
Orlov [11]

Answer:

Keith does.

Step-by-step explanation:

2250/60=37.5

8*5=40

Keith spends 40 hrs at work Melba spends 37.5 hrs.

6 0
3 years ago
Tickets to a hockey game cost $45. You and 3 of your friends decide to go together. how much will your tickets cost all together
MAXImum [283]

Answer:

135

Step-by-step explanation:

Well 3 friends and 45 dollars each

45*3=135

3 0
3 years ago
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Jack bought a car for $17,500. The car loses $750 in value each year. Which equation represents the situation? Question 9 option
yuradex [85]
If im understanding this correctly, to find the value of the car after x amount of years, the answer would be 17,500 - 750(x)
5 0
2 years ago
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Solve the following 2(x+3)=x-4
USPshnik [31]
2x + 6 = x - 4
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6 0
2 years ago
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Find the quadratic function that has a vertex at (3,4) and goes through the point (0,13).​
vladimir2022 [97]

Answer:

f

(

x

)

=

−

1

2

x

2

+

3

x

−

1

2

Explanation:

A quadratic function can be written in vertex form as:

f

(

x

)

=

a

(

x

−

h

)

2

+

k

where

(

h

,

k

)

is the vertex and

a

is a constant multiplier.

In our example the vertex

(

h

,

k

)

is

(

3

,

4

)

, so we can write:

f

(

x

)

=

a

(

x

−

3

)

2

+

4

Given that this passes through the point

(

1

,

2

)

, we must have:

2

=

a

(

1

−

3

)

2

+

4

=

4

a

+

4

Subtract

4

from both ends to get:

−

2

=

4

a

Divide both sides by

4

and transpose to find:

a

=

−

1

2

So our quadratic function can be written in vertex form as:

f

(

x

)

=

−

1

2

(

x

−

3

)

2

+

4

We can multiply this out and simplify as follows:

f

(

x

)

=

−

1

2

(

x

−

3

)

2

+

4

f

(

x

)

=

−

1

2

(

x

2

−

6

x

+

9

)

+

4

f

(

x

)

=

−

1

2

x

2

+

3

x

−

9

2

+

4

f

(

x

)

=

−

1

2

x

2

+

3

x

−

1

2

Step-by-step explanation:

PLZ MARK ME BRAINLYIST

4 0
3 years ago
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