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
Elan Coil [88]
3 years ago
9

If g(x)=4x^2-16 were shifted 5 units to the right and 2 down, what would the new equation be?

Mathematics
2 answers:
koban [17]3 years ago
6 0

Answer:

A. h(x)=4(x-5)^2-18

Step-by-step explanation:

We have been given an equation of a function g(x)=4x^2-16. We are asked to find the formula of the function our g(x) is shifted 5 units to the right and 2 units down.

Let us recall the transformation rules.

f(x)\rightarrow f(x-a)=\text{Graph shifted to the right by 'a' units}

f(x)\rightarrow f(x+a)=\text{Graph shifted to the left by 'a' units}

f(x)\rightarrow f(x)-a=\text{Graph shifted downwards by 'a' units}

f(x)\rightarrow f(x)+a=\text{Graph shifted upwards by 'a' units}  

Upon shifting our function to the right by 5 units our function would be:

g(x)=4(x-5)^2-16

Let us shift our given function downwards by 2 units.

g(x)=4(x-5)^2-16-2

g(x)=4(x-5)^2-18

Therefore, option A is the correct choice.

Eduardwww [97]3 years ago
4 0
Try this, pls:
When any line on graph is moved to the right, for 'x' must be '-'.
When one is moved down, for 'y' must be '-'.
Finaly: y=4(x-5)²-18.
Answer: A.
You might be interested in
Help with this question please
bixtya [17]

Answer:

A. 2x

Step-by-step explanation:

The slope is y values over x values

(0,0)

(1,2)

2-0 over 1-0

2/1 = 2

8 0
2 years ago
Evaluate |c2 + b2|, given a = 5, b = -3, and c = -2.
Helen [10]

Answer:

10

Step-by-step explanation:

This is the answer because:

1) First, insert all the numbers into the expression

Expression: I -2(2) + -3(2) I

2) Next, do -2 x 2 and -3 x 2

-2 x 2 = -4

-3 x 2 = -6

3) Then, do -4 + -6

-4 + -6 = -10

4) Finally, the absolute value of -10 is 10

Therefore the answer is 10

Hope this helps!

6 0
3 years ago
AABC goes through a sequence of transformations to form ABC. The sequence of transformations involved is a followed by a
lbvjy [14]

Answer:

Step-by-step explanation:

what he said was he right answer

7 0
2 years ago
Is there enough information to prove each quadrilateral is a parallelogram? Explain.
omeli [17]

Answer:

1. yes

2, no

3. yes

4. yes

Step-by-step explanation:

1. yes

If both sets of opposite sides are congruent, the quadrilateral is a parallelogram.

2. no

We know two side lengths. We know nothing about the other 2 sides and also nothing about all 4 angles.

3. yes

The missing angle must be 102°. With both pairs of opposite angles congruent, it must be a parallelogram.

4. yes

With both pairs of opposite angles congruent, it must be a parallelogram.

7 0
2 years ago
a milk tank at a a dairy farm has the form of a rectangular prism. The tank is 3.5 feet wide. The width of the tank is 5/7 of it
AURORKA [14]

Answer:

17.5 cubic feet

1163.75 pounds

Step-by-step explanation:

Givens

L = 3.5                                    Given

W = 5/7  *  3.5                        Divide by 7

W = 5 * 0.5                             Combine

W = 2.5

H = 4/5 * w

H = 4/5 * 2.5

H = 4 * 0.5

H = 2

Volume

V = L * w * h

V = 3.5 * 2.5 * 2

V = 17.5

Weight

1  Cubic foot Milk = 66.5 pounds

17.5 cubic feet milk = x

1 / 17.5 = 66.5/ x

x = 17.5 * 66.5

x = 1164.75

7 0
2 years ago
Other questions:
  • Which of the binomials below is a factor of this trinomial?<br>х2 - 10х- 39​
    6·1 answer
  • juan made $207.00 for 9 hours of work at the same rate how many hours of work does juan have to work to make $223.00
    7·1 answer
  • Cylindrical hole of radius a is bored through a sphere of radius 2a. the surface of the hole passes through the center of the sp
    12·1 answer
  • A triangle has an area of 234.4 square feet and a height of 16 feet. what is the length of the base?
    12·1 answer
  • Why a golf ball is heavier than a table-tennis ball
    9·2 answers
  • A sloppy joe restaurant gave 3 napkins to every 7 items ordered. If someone bought 28 items how many napkins should they get
    15·1 answer
  • Use the discriminant to determine how many real number solutions exist for the quadratic equation −4x2 + 3x –28 = 0.
    7·1 answer
  • Plz help highly appreciated,...will mark.
    10·1 answer
  • 9x^3 - 12x^2 + 3x + 4​
    13·1 answer
  • Answer this question asap
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!