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maria [59]
3 years ago
9

The graph of f (in blue) is translated a whole number of units horizontally and vertically to obtain the graph of h(in red).

Mathematics
2 answers:
mote1985 [20]3 years ago
8 0
H(x) = square root of (x-2) +4
saveliy_v [14]3 years ago
7 0

Answer:

h(x)=\sqrt{x-2}+4

Step-by-step explanation:

Initially the graph f (x) is shifted horizontally to the right.

When the graph shifts to right the function then becomes

f(x)→f(x-b)

Where b is the units by which it is shifted towards right .

So, in the figure we can see that it is shifted 2 units to the right .

So, f(x)→f(x-2)

Since f(x) is \sqrt{x}

So, f(x-2) =  \sqrt{x-2}

Now the new obtained graph is again shifted vertically upward

When the graphs shifts upward f(x) →f(x)+b

where b is the units by which it is shifted upward

So, our obtained f(x-2)  when shifted upward by 4 units so using the above given transformation of upward shift i.e. f(x) →f(x)+b

So,   Our new graph h(x) = f(x-2)+4

⇒  h(x)=\sqrt{x-2}+4

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Two consecutive even integers have the following property. When the smaller integer is added to three times the larger integer,
polet [3.4K]
 let x be the first integer
 x+ 2 the second integer  ( two consecutive even ) 

smaller integer  added to three times the larger  <span>x + 3 ( x+2)
  </span>two less than five times the smaller  <span>5x - 2</span>

x + 3 ( x+2)   =  5x - 2

x+3x +6 = 5x -2 

x=8       
the first  integer = 8
the second is  x+2 =10 



4 0
3 years ago
a cook has 2 2/3 cup of flour. a recipe calls for 2 3/4 cups of flour. does the cook have enough flour? if not, how much more fl
NeTakaya
The cook do not have enough flour. He only has 2.67 cups of flour while the recipe needs 2.75 cups of flour. Therefore, he needs 0.08 more cups of flour in order to have enough for the recipe. Hope this answers the question. Have a nice day.
6 0
3 years ago
Triangle ABC is congruent to triangle DFE. Find x.
Archy [21]

ΔABC ≡ ΔDFE

⇒ line EF = BC

.

<u>Solve x:</u>

3x - 4 = 20

3x = 24

x = 8

.

Answer: x = 8

4 0
3 years ago
Find the values of x when y=1
kirill [66]

Answer:

x=1+\sqrt{5}, 1-\sqrt{5}

Step-by-step explanation:

  1. x^{2} -2x-4=0
  2. (x-1)^{2} -1-4=0
  3. (x-1)^{2} -5=0
  4. (x-1)^{2} =5
  5. x-1=\sqrt{5} ,-\sqrt{5}
  6. x=1+\sqrt{5} , 1-\sqrt{5}

<u>FINAL ANSWER</u>

x=1+\sqrt{5} , 1-\sqrt{5}

<u><em>In Decimal Form (Rounded to 3 significant figures)</em></u>

<em>x≈-1.24, 3.24</em>

6 0
3 years ago
Read 2 more answers
Select each pair of equivalent numbers. PLS HELP DUE TMR AND I DONT HOW TO SOLVE IT, PLS SHOW HOW U SET IT UP
BaLLatris [955]
The pairs that are equivalent to each other are 40/1000 and 40%, 6/5 and 120%, 1/8 and 12.5% . They are the correct answers because if we divide for example 6/5 , we would get 1.2 and to turn a decimal into a percent we have to move the decimal point 2 times to the right meaning that the percentage would be 120% and you just do that for all! I hope this helped :)!!
3 0
2 years ago
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