1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tino4ka555 [31]
3 years ago
10

Let f(x)=2x2−8 .

Mathematics
2 answers:
Ierofanga [76]3 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]3 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
You might be interested in
alma is making 3 batches of tortillas. Each batch needs 3/4 cup of water. She only has a 1/4 cup measure. How many times must al
Archy [21]
9 times
3 times for every 3/4
3/4 for every batch
5 0
3 years ago
The coordinates of point F are (1, 0.5) and the coordinates of point G are ( -1, -0.5). Which coordinate plane below correctly s
Darya [45]

Answer:

i kind of need a picture of the grid to solve this

Step-by-step explanation:

6 0
3 years ago
when a stone falls freely, the time taken to hit the ground varies as the square root of the distance fallen. If it takes four s
Eva8 [605]

Answer:

The stone would take approximately 10.107 seconds to fall 500 meters.

Step-by-step explanation:

According to the statement of the problem, the following relationship of direct proportionality is built:

t \propto y^{1/2}

t = k\cdot t^{1/2}

Where:

t - Time spent by the stone, measured in seconds.

y - Height change experimented by the stone, measured in meters.

k - Proportionality constant, measured in \frac{s}{m^{1/2}}.

First, the proportionality constant is determined by clearing the respective variable and replacing all known variables:

k = \frac{t}{y^{1/2}}

If t = 4\,s and y=78.4\,m, then:

k = \frac{4\,s}{(78.4\,m)^{1/2}}

k \approx 0.452\,\frac{s}{m^{1/2}}

Then, the expression is t = 0.452\cdot y^{1/2}. Finally, if y = 500\,m, then the time is:

t = 0.452\cdot (500\,m)^{1/2}

t \approx 10.107\,s

The stone would take approximately 10.107 seconds to fall 500 meters.

4 0
3 years ago
Perform the indicated operation g(x)=-x-3 h(x) = x 2+X Find (goh) (x)​
Klio2033 [76]

Answer:

(g\circ h)(x)=-x^2-x-3

Step-by-step explanation:

So we have the two functions:

g(x)=-x-3\text{ and } h(x)=x^2+x

And we want to find:

(g\circ h)(x)

This is the same thing as:

=g(h(x))

So, substitute h(x) into g(x):

g(x)=-x-3\\g(h(x))=-(x^2+x)-3

Distribute the negative:

g(h(x))=-x^2-x-3

And we're done!

So:

(g\circ h)(x)=-x^2-x-3

6 0
3 years ago
Read 2 more answers
The equation of the line in this graph is y=____x +____  .
almond37 [142]
The equation is y=\frac{3}{2}x+3
4 0
3 years ago
Read 2 more answers
Other questions:
  • A cookie shop sells 5 different kinds of cookies. how many different ways are there to choose 16 cookies if (a) you pick at leas
    7·1 answer
  • What is m? 49° 77° 98° 161°
    7·2 answers
  • Which number is composite ??? A.11 B.5 C.9 D.2
    8·1 answer
  • Which of the following equations has a graph that crosses the y-axis at a point lower than y=2x^2-1
    12·1 answer
  • 100 - 10x = 40 *<br><br> a X = 6<br> b X = 7<br> c X = -6<br> d X = 5
    12·2 answers
  • Adult male heights have a normal probability distribution with a mean of 70 inches and a standard deviation of 4 inches.
    15·1 answer
  • Find the area of the following trapezoid. 5 7 14<br>​
    10·2 answers
  • HELP ME PLEASE!
    5·1 answer
  • What is the answer to -4/3 / -1/4?
    13·1 answer
  • If the ratio of roses to daisies is 5 to 8 and there are 40 daises, how many roses are there?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!