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In-s [12.5K]
3 years ago
13

A student graphed function f(x) =( x+2)² - 5. How would the new function be written if it is translated 3 units to the right, sh

ifted 2 units down and vertically stretched by a factor of 2?
Mathematics
1 answer:
bazaltina [42]3 years ago
5 0

Answer:

f(x)=2(x-3)-2

Step-by-step explanation:

when you hear if it translate to the right, it mean subtract " - "

so translate 3 unit right, it mean minus 3.

and same if translate left, it mean add, "+"

But if it mean shift down, it mean minus -

and if it mean shift up, it mean add +

so shift down 2 unit, mean -2

stretch factor of 2, mean multiply by 2

I hope this help! Im gonna explain further more if you have any question☺

You might be interested in
If three quarters of a number decreased by twenty is equal to eighty two, what is that number?
Studentka2010 [4]

A number is :

x

_________________________________

Three quarters of it means :

\frac{3}{4}x \\

_________________________________

Decrease by 20 means :

\frac{3}{4}x - 20 \\

_________________________________

Equals to 82 means :

\frac{3}{4}x - 20 = 82 \\

_________________________________

What is that number ?

x asked so we must solve the above equation for x.

Let's do it....

\frac{3}{4}x - 20 = 82 \\

Plus sides 20

\frac{3}{4}x = 82 + 20 \\

\frac{3}{4}x = 102 \\

Multiply sides by 4

3x = 102 \times 4

Divided sides by 3

x =  \frac{102 \times 4}{3} \\

x =  \frac{102}{3} \times 4 \\

Simplify

x = 34 \times 4

x = 136

So that number is 136 .

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

5 0
3 years ago
Here is a clue about a secret number:
NeX [460]
It is not a multiple of 8
7 0
3 years ago
Plz help fast will mark the brainiest!!!
Kobotan [32]

Answer:

1.5 x 10^0

Step-by-step explanation:

3 0
3 years ago
40% of 125 is what number?
Hatshy [7]
The answer is 32


Solution for 40 is what percent of 125:

40:125*100 =

( 40*100):125 =

4000:125 = 32

Now we have: 40 is what percent of 125 = 32

Question: 40 is what percent of 125?

Percentage solution with steps:

Step 1: We make the assumption that 125 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$x​.

Step 3: From step 1, it follows that $100\%=125$100%=125​.

Step 4: In the same vein, $x\%=40$x%=40​.

Step 5: This gives us a pair of simple equations:

$100\%=125(1)$100%=125(1)​.

$x\%=40(2)$x%=40(2)​.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{125}{40}$
100%
x%​=
125
40​​

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{40}{125}$
x%
100%​=
40
125​​

$\Rightarrow x=32\%$⇒x=32%​

Therefore, $40$40​ is $32\%$32%​ of $125$125​.
7 0
4 years ago
Read 2 more answers
I need help someone help me please <3
ElenaW [278]

Answer:

y=-\frac{3}{2}x-2

Step-by-step explanation:

using the y=mx+b equation, where m=slope and b=y-intercept, we can place our known slope and y-intercept to form our answer, y=-\frac{3}{2}x-2 :-) hope this helped!

4 0
3 years ago
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