All categories

2 years ago

The graphs below have the same shape. What is the equation of the blue graph?

Mathematics

2 answers:

madam [21]2 years ago

7 0

Answer: The answer is (C) $y=(x-2)^2.$

Step-by-step explanation: We are given two graphs of functions F(x) and G(x) having same shape. The graph of F(x) passes through the origin and is defined by

$F(x)=x^2.$

We are to find the equation of the graph of G(x).

Since the graph of G(x) is shifted right 2 units from the graph of F(x), so x will be replaced by (x - 2).

Therefore, the equation of the function G(x) becomes

$G(x)=(x-2)^2.$ .

Thus, (C) is the correct option.

11111nata11111 [884]2 years ago

5 0

g(x) = (x-2)^2

when we shift left or right we replace the x with our new x including the shift

(x-2) will shift it right units

(x+2) will shift it left 2 units

Choice C

You might be interested in

How to factor 4x^2+ 40x+85

spin [16.1K]

4x^2+40x+85 There are no like terms.

6 0

3 years ago

I only need the equations, I can solve it.

natali 33 [55]

How can you solve it if you don't know the equations? :P Just kidding...

n+d=22, so we can say that d=22-n

5n+10d=120, and using d found above in this equation gives you:

5n+10(22-n)=120

5n+220-10n=120

-5n=-100

n=20, and since d=22-n, d=2

So there are two dimes and twenty nickels...

check...

20(5)+2(10)=100+20=120 cents which is $1.20

n+d=22, 20+2=22, 22=22

4 0

3 years ago

Read 2 more answers

Andrew is creating a rectangular dog run in his back yard. The length of the dog run is 18 feet. The perimeter of the dog run mu

ale4655 [162]

Answer: $3\leq x \leq 18$

Step-by-step explanation:

Given, the length of the rectangular dog run is 18 feet.

Formula: Perimeter = 2 ( length + width)

Let width be x.

Then, Perimeter = 2 (18 + x ) feet

The perimeter of the dog run must be at least 42 feet and no more than 72 feet.

That is

$42\leq 2 (x+18)\leq 72$

Divide inequality by 2, we get

$21\leq 18+x\leq 36$

Subtract 18 from each side, we get

$3\leq x \leq 18$

Required inequality : $3\leq x \leq 18$

6 0

3 years ago

Chris and Josh have a total of 1,800 stamps in their collections, Josh and Jessica have a total of 2,200 stamps, and Jessica and

LiRa [457]

Answer: 3000 stamps

Step-by-step explanation:

Given

Chris and Josh have 1800 stamps

Josh and Jessica have 2200 stamps

Jessica and Chris have 2000 stamps

Suppose Chris, Josh, and Jessica have $x,y, \text{and}\ z$ stamps

$\therefore x+y=1800\quad \ldots(i)\\\Rightarrow y+z=2200\quad \ldots(ii)\\\Rightarrow z+x=2000\quad \ldots(iii)\\\text{Add (i), (ii), and (iii)}\\\Rightarrow 2(x+y+z)=1800+2200+2000\\\Rightarrow x+y+z=3000$

Thus, all three have 3000 stamps

6 0

2 years ago

Twenty- four divided by the difference between 1 1/2 and 3/4

NISA [10]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers