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
Greeley [361]
3 years ago
5

The function f(x) = x2 has been translated 9 units up and 4 units to the right to form the function g(x). Which represents g(x)?

Mathematics
2 answers:
Inga [223]3 years ago
8 0
For this case , the parent function is given by [tex f (x) =x^2
[\tex]
We apply the following transformations
Vertical translations :
Suppose that k > 0
To graph y=f(x)+k, move the graph of k units upwards
For k=9
We have
[tex]h(x)=x^2+9
[\tex]
Horizontal translation
Suppose that h>0
To graph y=f(x-h) , move the graph of h units to the right
For h=4 we have :
[tex ] g (x) =(x-4) ^ 2+9
[\tex]
Answer :
The function g(x) is given by
G(x) =(x-4)2 +9
Y_Kistochka [10]3 years ago
6 0
If it’s horizontally translated, the x value/ input is altered, meaning that the value is added or subtracted from x. In this case, you move 4 units to the right, so you’d have (x-4)^2. Then vertical change is shown by changes to the y value, so it would be outside the parentheses. So you get +9 out of the parentheses.

g(x)=(x-4)^2+9
You might be interested in
Wxyz is a rectangle. what is zx?
Nitella [24]
ZX is the diagonal :)
Hope this helped!
8 0
3 years ago
Read 2 more answers
A developer wants to enclose a rectangular grassy lot that borders a city street for parking. If the developer has 220 feet of f
MrRa [10]

Answer:

6050 square feet

Step-by-step explanation:

Based on the diagram attached, the area which the available fencing can enclose will measure X x Y feet. As the total length of fencing available is 220 feet, the fenced perimeter must equal 220 feet

Y + 2X = 220

Y = 220 - 2X

Area of a rectangle is determined by multiplying the length of perpendicular sides:

Area = X*Y

Area = X(220 - 2X)

Area = 220X - 2X^{2}

The derivative of an equation determines the slope at any given point of that equation. At the maximum or minimum point of the equation, the slope will be zero. Therefore, differentiating the equation for area and equating it to zero will give the value of X where the area is maximum.

A simple variable can be differentiated using below concept:

f(a) = a^{b}

f'(a) = ba^{b-1}

Using the above concepts to differentiate Area and calculate X will give:

Area = 220X - 2X^{2}

Area' = 220 - 4X = 0

X = 55

Calculating Y:

Y = 220 - 2X

Y = 220 - 2(55)

Y = 110

Calculating Area:

Area = X*Y

Area = 55*110

Area = 6050\sqfeet

8 0
2 years ago
What is The difference between 3 7/10 and 2 2/5
miskamm [114]

Answer:

1 3/10

Step-by-step explanation:

3 7/10 - 2 2/5 =

3 7/10 - 2 4/10 =

1 3/10

7 0
2 years ago
Read 2 more answers
Is 1 1/4 a rational number?
lisabon 2012 [21]

Answer:

Hey there!

1 1/4 is a rational number because it can be expressed as a fraction.

Let me know if this helps :)

3 0
3 years ago
Select the type of equations
olya-2409 [2.1K]
Two lines are "inconsistent" if they are parallel. They are "equivalent" if they are the same line. Otherwise, they are "consistent."

Your first 3 graphs show "consistent" equations.

The 4th graph shows "inconsistent" equations.

The solution shown on the 5th graph is where the lines intersect, near point
  (5, 3)
4 0
3 years ago
Read 2 more answers
Other questions:
  • A pollster uses a computer to generate 500 random numbers and then interview the voters corresponding to those numbers. identify
    14·1 answer
  • 438 people signed up for a city soccer league. the league places 15 people on each team. How many teams are there?
    13·1 answer
  • Factor completely 3x^2 − 21
    12·2 answers
  • Dani put 36 of her t shirts in her dresser if she has 90 t shirt what percent of all her t shirts did Dani put in the dresser
    5·1 answer
  • The weight distribution of parcels sent in a certain manner is normal with mean of 12 lb and standard deviation of 3 lb. The par
    8·1 answer
  • Subract 2.2 and 41.5
    9·2 answers
  • Two times the sum of nine and a number is the opposite of 9.
    8·1 answer
  • WHAT??? HELP ME PLEASE///8TH GRADE MATH
    10·1 answer
  • Someone please help me answer this!!
    14·1 answer
  • Evaluate f(-2) if f(x) = x²+ 3x +1
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!