Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x − 2)?

which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x − 2)?

a. the graph of y = f(x) will shift left 2 units.

b. the graph of y = f(x) will shift right 2 units.

c. the graph of y = f(x) will shift up 2 units.

d. the graph of y = f(x) will shift down 2 units.

B

Step-by-step explanation:

[tex]pls help meh.. Which of the following statements best describes the effect of replacing the graph of[/tex]

The correct answer is A) The graph of y = f(x) will shift left 2 units.

pls mark me brainliest

answer:

the graph of y = f(x) will shift left 6 units.

step-by-step explanation:

y = f(x) will be at the origin of (0,0). y = f(x + 6) will shift it left because of the plus/addition sign. if it's plus a number, you go that many times to the left. if it's subtracting a number, it goes that many times to the right.

step-by-step explanation:

contrary to what your intuition may tell you, the correct answer is b. minus means move right. when the constant is subtracted from x.

if the choice was f(x + 2) that would move the function left 2 units.

f(x - 2) does not affect up and down movement.

The graph will shift 9 units to the right

Sorry about my hand writing

[tex]Question 9(Multiple Choice Worth 4 points) (02.05 LC) Which of the following statements best descri[/tex]

D) right 9 units

Step-by-step explanation:

The Vertex form of a quadratic equation is: y = a(x - h)² + k where

a is the vertical stretch or shrink(x, h) is the vertex

→ h is the horizontal shift (+ is right, - is left)

→ k is the vertical shift (+ is up, - is down)

y = f(x - 9)

↓

h=9

Since h is positive, the graph moves 9 units to the RIGHT

D

Step-by-step explanation:

0-2=-2 this is Y in graph

1-2=-1

etc...

Note/ 0 and 1 are X

answer:

hardy

step-by-step explanation:

The graph of y = f(x) will shift left 6 units, as shown in figure a.

Step-by-step explanation:

A translation means we are able to move the graph of a function up or down - normally called Vertical Translation - and right or left - commonly called Horizontal Translation.

If we replace the graph of y = f(x) with the graph of y = f(x + 6). It means we have added 6 units to the input, meaning the graph y = f(x) will shift left by 6 units as 6 is being added directly to the x, so it is f(x + 6).

For example, if y = x² is the original function and of 6 is directly added to x i.e. f(x + 6), making it y = (x + 6)². So, we can easily observe that there will be a horizontal translation left of 8 units, as shown in figure a.

So, the graph of y = f(x) will shift left 6 units.

Keywords: graph shift, translation

Learn more about translation from

#learnwithBrainly

[tex]Which of the following statements best describes the effect of replacing the graph of y = f(x) with[/tex]

The graph of y = f(x) will shift to the right 9 units.

Step-by-step explanation:

Despite some lack of clarity, because usually this equality is in terms of x and y. Let's do it.

Taking f(x) as its parent function in other words

[tex]y=f(x)[/tex]

Testing some values:

x|y

0|0

1|1

2|2

Adding to the function -9 units is to shift it to the right

[tex]y=f(x-9)[/tex]

Testing some values to certify:

x|y

-9|0-9

-8|1-9

-7|2-9

[tex]Which of the following statements best describes the effect of replacing the graph of y = f(x) with[/tex]

[tex]Which of the following statements best describes the effect of replacing the graph of y = f(x) with[/tex]