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3 years ago

What effect does replacing x with x + 2 have on the graph for the function f(x) ?

1 answer:

3 0

The answer is A.

When replacing the variable 'x' by 'x + 2' the graph is shifted 2 units to the left. When we replace the variable, the function changes

from
$f(x) = |x - 3| + 2$

To
$f(x) = |(x + 2) - 3| + 2$
$f(x) = |x - 1| + 2$

And therefore the function is shifted 2 to the left.

You might be interested in

While on a walk in the country, you pass a field full of horses and chickens. After a quick count, you determine there are 43 he

Irina-Kira [14]

Horse = x = 1 head and 4 feet

Chicken =y = 1 head and 2 feet

Horse + chicken = x + y = 43 ( total heads)

Horse = 43 - y

4x + 2y = 122

4(43-y) + 2y = 122

Simplify:

172-4y + 2y = 122

Combine like terms

172-2y = 122

Subtract 172 from both sides

-2y = -50

Divide both sides by-2

Y = 25

X + y = 43

X + 25 = 43

X = 18

There are 18 horses and 25 chickens.

4 0

3 years ago

Write a equivalent expression to 6(2x +5)

Nonamiya [84]

Answer:

12x+30

Step-by-step explanation:

6(2x+5)

=(6)(2x+5)

=(6)(2x)+(6)(5)

=12x+30

7 0

3 years ago

Read 2 more answers

Which fraction represents this decimal? 0.1234

FrozenT [24]

Answer:

Step-by-step explanation:

617/500 = 1234/1000

Therefore option B is the answer.

5 0

3 years ago

What is the greatest common factor of 48, 112, and 80

pickupchik [31]

9514 1404 393

Answer:

Step-by-step explanation:

48 = 16·3

112 = 16·7

80 = 16·5

3, 5, 7 have no common factors. The GCF of {48, 112, 80} is 16.

_____

It can be helpful to recognize 48 = 16·3 and 80 = 16·5. A simple check shows 112 = 16·7, so 16 is the GCF.

You can find GCF(48,112) using Euclid's algorithm:

112 mod 48 = 16

48 mod 16 = 0 ⇒ GCF(48, 112) = 16

and the GCF(16, 80) is ...

80 mod 16 = 0 ⇒ GCF(16, 80) = 16

So, GCF(48, 80, 112) is 16.

4 0

3 years ago

What is the slope of a line perpendicular to the line whose equation is 6x+8y=−128. Fully simplify your answer.

alexgriva [62]

The slope of a line perpendicular to the line 6x + 8y = -128 is 4/3.

Given,

The equation of a line = 6x + 8y = -128

We have to convert this into standard form of linear equation, y = mx + b :

So,

6x + 8y = -128

Add -6x to both sides,

6x + 8y - 6x = -6x - 128

Now,

8y = -6x - 128

Divide 8 on both sides

8y/8 = (-6x - 128) / 8

We get,

y = -6/8x - 16

Here, this is in standard form of linear equation.

Here slope of line, m₁ = -6/8

We have to find the slope of line(m₂) which is perpendicular to the given line.

If the line is perpendicular, the slope(m₂) will be the negative reciprocal of the slope(m₁) of the given line.

That is,

Slope of line, (m₂)= -(m₁) = - (-8/6) = 8/6 = 4/3

That is, the slope of the line which is perpendicular to the given line is 4/3.

Learn more about slope of the line here:

brainly.com/question/16616984

#SPJ1

6 0

2 years ago