Ask question

Ask question

All categories

tino4ka555 [31]

3 years ago

10

Let f(x)=2x2−8 .

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