All categories

3 years ago

Suppose f(x) = x^2. Find the graph of f (x-5). -Graph 1 -Graph 2 -Graph 3 -Graph 4

Mathematics

1 answer:

ohaa [14]3 years ago

7 0

Answer:

x²-10x+25

Step-by-step explanation:

f(x) = x²

<h3>i) substitute the x-5 into x</h3>

f(x-5) = (x-5)²

<h3>ii) using the formula (a-b)² = a²-2ab+b², expand the expression</h3>

f(x-5) = (x-5)²

= x²-2(5x)+5²

<h3>iii) calculate the products</h3>

f(x-5) = x²-2(5x)+5²

= x²-10x+25

* the pic i inserted shows the shape of your graph

You might be interested in

In the figure below, if BE is the perpendicular bisector of AD , what is the value of x?

Hitman42 [59]

Answer:

Step-by-step explanation:

<h3>Since BE is perpendicular bisector AE=ED</h3><h3>Substituting we have:</h3><h3>3x + 5 = x + 25 solving for x</h3><h3> x = 10</h3><h3 />

5 0

2 years ago

Three friends Kofi,Yaw and Musa are in partnership business in which Kofi and Yaw contributed 5/9 and 2/15 of the cost of 14000.

wlad13 [49]

Answer:

(a) $Total = 45000$

(b) Yaw, Musa and Kofi

Step-by-step explanation:

Given

$Kofi =5/9$

$Yaw = 2/15$

$Musa = 14000$

Solving (a): The cost of the business

First, we solve for the fraction of Musa

$Musa + Kofi + Yaw = 1$

$Musa = 1 - (Kofi + Yaw )$

$Musa = 1 - (5/9 + 2/15)$

$Musa = 1 - (\frac{25+6}{45})$

$Musa = 1 - \frac{31}{45}$

$Musa = \frac{45 - 31}{45}$

$Musa = \frac{14}{45}$

So, we have:

$\frac{14}{45} * Total = 14000$

Make Total the subject

$Total = 14000 * \frac{45}{14}$

$Total = 1000 * 45$

$Total = 45000$

Solving (b): Partners in ascending order

First, represent the fractions as decimals

$Kofi =5/9$ $= 0.5556$

$Yaw = 2/15$ $= 0.1333$

$Musa = \frac{14}{45}$ $= 0.3111$

From the conversion above, the least is 0.1333 (Yaw), then 0.3111 (Musa), then 0.5556 (Kofi).

<em>So, the order is: Yaw, Musa and Kofi</em>

6 0

3 years ago

What is the image of ( − 5 , 4 ) (−5,4) after a reflection over the line y = x y=x?

balandron [24]

Answer:

(4,−5)

Step-by-step explanation:

7 0

2 years ago

PLEASE HELO ASAP WILL MARK BRAINLIEST

ss7ja [257]

A.) 1/2

B.) 3

For the first one, just plug the value of x (4) everywhere you see x in the formula.

For the second one, place 1 wherever you see f(x)

Hope this helps

6 0

2 years ago

sana is senior to Mona by 18 years after 6 years.Sana will be twice as old as Mona. find Mona,s percentage

Gwar [14]

Let
Present age of Sana = s
Present age of Mona = m

Sana is senior to Mona by 18 years
s=m+18............(1)

After 6 years
Sana will be = s+6
Mona will be = m+6
Then
Sana will be twice as old as Mona
(s+6)=2(m+6)
s+6=2m+12
s=2m+12-6
s=2m+6.............(2)
Put the value of s from (2) to (1)
2m+6=m+18
2m-m=18-6
m=12
Put the value of m in (1)
s=m+18
s=12+18
s=30

Present age of Sana = s = 30 years old
Present age of Mona = m = 12 years old

3 0

2 years ago