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
chubhunter [2.5K]
3 years ago
11

Please help me on my equation

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
5 0

Step-by-step explanation:

g(x) has clearly in its core the same function curve.

but it is

1. upside-down

2. moved up from the x-axis by 1 unit

3. moved to the right of the y-axis by 3 units

so, how do we express these 3 attributes in the functional definition ?

1. easily : by flipping the sign. g(x) = -x² is the same function type just upside-down (mirrored into the negative y space).

g(x) = -x²

2. also very easy : a function is moved up or down on the coordinate grid by adding (or subtracting) a constant.

we need to move our function up by 1 unit : we add 1.

that makes currently g(x) = -x² + 1

3. this is the trickiest part. to move a function left or right we need to make the function "think" that the input value x is not x, but it is (x ± constant).

let's ignore 1. and 2. for the moment and just focus moving the original function 3 units to the right.

that tells us that the functional result value of x in the shifted function must be the same as the functional result value in the original function for an input value that is 3 units "earlier" on the x-axis.

that would mean g(0) = f(-3), g(1) = f(-2), g(2) = f(-1), g(3) = f(0), ...

so, we see, g(x) = f(x-3) = (x-3)²

now, we combine again 1., 2. and 3., and we get

g(x) = -f(x-3) + 1 = -(x-3)² + 1

You might be interested in
Geometry Simple:<br> Please solve i will be entering as shown work is helpful but not required!
Gelneren [198K]

I hope this helps you

6 0
3 years ago
How to slove -10 -1 need help
yuradex [85]

Answer:

-10 - 1 = x

Step-by-step explanation:

If you take -10 and subtract one, it makes the number go down lower because it's negative (example, 12 - 2 is -14)

5 0
3 years ago
Select the equivalent expression . ( 8^ -5 2^ -2 )^ -4 =?
Vikki [24]

Answer: C

Step-by-step explanation:

When there is division inside a set of parentheses, you can distribute the power to each term. When you take a power to another power, you multiply the powers.

-5 x -4 = 20

-2 x -4 = 8

So your answer is:

\frac{8^2^0}{2^8}

6 0
3 years ago
Simplify the two surds then simplify the resulting expression:<br> 2√50 + 3√32
-BARSIC- [3]

Answer: 31.11269837 round your answer if needed to

Step-by-step explanation:

3 0
2 years ago
Which step should be performed first in the expression?<br> Then simplify the expression. 5(-3)+6
BabaBlast [244]

Answer:

5(-3) would be the first step

Step-by-step explanation:

5 * -3 = -15

-15 + 6 = -9

-9 is the answer

4 0
3 years ago
Other questions:
  • 4. Solve the inequality.<br>​
    10·1 answer
  • In 2015, Gary earned $25,300. In 2016, he received a raise and earned $28,100. Comparing Gary’s increased salary to his previous
    5·2 answers
  • Vicki and Tamra are working on their math homework together. Vicki has worked p problems, and Tamra has worked 4 times as many p
    13·2 answers
  • Ten samples of coal from a northern appalachian source had an average mercury content of 0.242 ppm with a standard deviation of
    5·1 answer
  • What is the solution to the equation<br> 5(x + 3) + 2 = 17 + 5x
    12·1 answer
  • Tania lived in Columbia and Dominican Republic for a total period of 14 months in order to learn Spanish. She learned an average
    7·1 answer
  • One fifth plus one tenth equals what
    7·2 answers
  • What is the simplified form of (2 X 102)2 in standard notation? Do not use commas in your answer. (HAS TO BE A NUMBER)
    13·1 answer
  • A pair of parallel lines is cut by a transversal<br> What are the measures of the two marked angles?
    8·1 answer
  • Fin find the 31st term in -3, -5, -7, -9
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!