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
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

You might be interested in
Triangle PQR lies in the xy-plane, and the coordinates of vertex Q are (2, –3). Triangle PQR is rotated 180° clockwise about the
trasher [3.6K]

Answer:

(2,3)

Step-by-step explanation:

We are given that triangle PQR lies in the xy-plane, and coordinates of Q are (2,-3).

Triangle PQR is rotated 180 degrees clockwise about the origin and then reflected across the y-axis to produce triangle P'Q'R',

We have to find the coordinates of Q'.

The coordinates of Q(2,-3).

180 degree clockwise  rotation about the origin  then transformation rule

(x,y)\rightarrow (-x,-y)

The coordinates (2,-3) change into (-2,3) after 180 degree clockwise rotation about origin.

Reflect across y- axis the transformation rule

(x,y)\rightarrow (-x,y)

Therefore, when reflect across y- axis then the coordinates (-2,3) change into (2,3).

Hence, the coordinates of Q(2,3).

5 0
3 years ago
Which of the following statements are not true?
lubasha [3.4K]
That one correct so yes um cause the app said answer must be above 20 characters

6 0
3 years ago
Scientists were studying a rare species of parrot. They went to a forest in the year
Brrunno [24]

Answer:

P(t) = 608(1.5)^{t}

Step-by-step explanation:

The number of parrots in t years after 2010 can be modeled by the following function:

P(t) = P(0)(1+r)^{t}

In which P(0) is the number of parrots in 2010 and r is the growth rate, as a decimal.

608 parrots in the forest in 2010.

This means that P(0) = 608

Then

P(t) = 608(1+r)^{t}

When the scientists went back  5 years later, they found 4617 parrots.

This means that P(5) = 4617

We use this to find 1 + r. So

P(t) = 608(1+r)^{t}

4617 = 608(1+r)^{5}

(1+r)^{5} = \frac{4617}{608}

1 + r = \sqrt[5]{\frac{4617}{608}}

1 + r = 1.5

So

P(t) = 608(1.5)^{t}

8 0
3 years ago
Find the percent decrease. Round to the nearest percent.
shutvik [7]

Answer:

decrease 3%

Step-by-step explanation:

sana makatulongggg

4 0
3 years ago
Solve the following triangle in which given sides are<br> a=7 b=7 c=9
blagie [28]
We have an isosceles triangle;
A=opposite angle side a.
B=opposite angle side b.
C=opposite angle side c.

A=B
Method 1:

We can divide the isosceles triangle in two right triangles,
hypotenuse=7
side=9/2=4.5

B=A=arccossine (4.5/7)=49.994799...º≈50º
C/2=90º-50º=40º  ⇒ C=2*40º=80º

Answer:
a=7;  A=50º
b=7;  B=50º
<span>c=9;  C=80º

Method 2:
Law of cosines:
a²=b²+c²-2bcCosA  ⇒CosA=(a²-b²-c²)/(-2bc)
CosA=(49-49-81) / (-126)=0.642857
A=arco cos (81/126)≈50º

B=A=50º

A+B+C=180º
50º+50º+C=180º
C=180º-100º
C=80º

Answer:

</span>a=7;  A=50º
b=7;  B=50º
<span>c=9;  C=80º</span>

8 0
3 years ago
Other questions:
  • 6a = a+60 what is the value of a?
    15·1 answer
  • What volume of x makes makes the perimeters of the figures below
    13·1 answer
  • Find the range of f(x)=-2x + 6 for the domain {-1, 3, 7, 9}
    13·1 answer
  • Math I need help wit this problem
    13·1 answer
  • Which of the following values is a solution for the inequality statement?
    7·1 answer
  • My watch loses a quarter of a minute every hour . If i put it right at midday , what time will my watch show at 8pm that evening
    11·1 answer
  • Help i’ll give brainliest please hurry
    6·1 answer
  • Name the orperation you should perform first. i need help pls and thank you!!
    8·1 answer
  • Gertrude is baking a cake the recipe calls for 6 cups of flour and she already misses in three cups. how many more Cubs she stil
    8·1 answer
  • X = 5(84/100) + 4(10/100) +3(4/100) + 2(1/100) + 1(1/10)
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!