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
aivan3 [116]
3 years ago
7

Which phrase best describes the translation from the graph y=(x-5)^2+7 to the graph of y=(x+1)^2-2

Mathematics
2 answers:
Helga [31]3 years ago
8 0

Start from the parent function f(x)=x^2


In the first case, you are computing


f(x-5)+7


In the second case, you are computing


f(x+1)-2 /tex] There are two translation going on: when you transform [tex] f(x) \to f(x+k), you translate the function horizontally, k units left if k>0 and k units right if k.


On the other hand, when you transform f(x) \to f(x)+k, you translate the function vertically, k units up if k>0 and k units down if k.


So, the first function is the "original" parabola f(x)=x^2, translated 5 units right and 7 units up. Likewise, the second function is the "original" parabola f(x)=x^2, translated 1 units left and 2 units down.


So, the transformation from (x-5)^2+7 to (x+1)^2-2 is: go 6 units to the left and 2 units down

Svet_ta [14]3 years ago
6 0

Answer: Translation of shifted 6 unit left and 9 units down.


Step-by-step explanation: Original given function y=(x-5)^2+7.

Translated function y=(x+1)^2-2.

We can see y=(x-5)^2+7  is being transformed to y=(x-5+6)^2+7-9.

We can see y=f(x+c)-d transformation rule is being applied there.

<em>According to y=f(x+c)-d transformation rule the function f(x) is being shifted c unit left and d units down.</em>

<h3>Therefore, y=(x-5+6)^2+7-9. is being shifted 6 unit left and 9 units down.</h3>
You might be interested in
I need help ASAP !!!
lbvjy [14]
The answer is (x,y) —> (y,-x)
8 0
3 years ago
Hey guys I need help with this right quick...got some time to help????
Zepler [3.9K]
Answer=18
3x4=12
12x6=72
72x1/4=18
7 0
3 years ago
HELP! What is the radius and diameter of this circle?
dem82 [27]

Answer:

Step-by-step explanation:

the diameter is the measurement that is all the way across the circle which is given to you so the diameter is 7cm. To find the radius it is half the way across the circle so it is half the diameter so in this case the radius would be 3.5cm

8 0
3 years ago
Write a Rule for a Composite Function
zysi [14]

Answer:

C

Step-by-step explanation:

Observing that <em>f</em> has to be placed inside <em>g</em>, we can easily substitute x^2 - 3 in place of the x in x + 1, making it

(x^2 - 3) + 1 which equals

(x^2) - 2

5 0
3 years ago
2x2−5x=3 Separate the two values with a comma.
nirvana33 [79]
2x^2 -5x -3 = 0

D = 25 +24 = 49

x_1,2 = (5+/- sqrt49)/4 = (5+/-7)/4 = -2/4 = -1/2 and 12/4 = 3 

x_1,2 = -1/2 and 3

hope this will help you 
4 0
3 years ago
Other questions:
  • 5. Find wº in the acute<br> triangle.<br> 63° 490
    11·2 answers
  • A nut wholesaler sells a mix of peanuts and cashews. He charges $2.80 per pound for peanuts and $5.30 per pound for cashews. If
    12·2 answers
  • Where is the opposite of −10 located on a number line? A) to the left of 0 B) to the right of 0 C) to the right of 12 D) to the
    15·2 answers
  • Five out of 10 marbles in a bag are red. What percentage of the marbles are not red?
    5·2 answers
  • The absolute value of a number is
    15·2 answers
  • What is the solution to the equation 4x-6=10x-3?
    15·1 answer
  • How to distribute 6 x(3+4) =56
    9·1 answer
  • Help pls
    10·1 answer
  • The solution set of 4x-(x+7)=2(x+3)​
    12·1 answer
  • a clothing store has sing has the sign shown is in the shop windoe pani sees the sing and want s to buy 3 shirts
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!