Use the given parent function f(x)=|x| to graph g(x)=|x+2|-4. use the ray tool and select two points

8 answers
Question:

Use the given parent function f(x)=|x| to graph g(x)=|x+2|-4. use the ray tool and select two points to graph each ray. ​

[tex]Use the given parent function f(x)=|x| to graph g(x)=|x+2|-4. use the ray tool and select two points[/tex]


Answers

Shown in the attached figure

Explanation:

The absolute value function is a function that takes the shape of a V. The pattern of the absolute value function is:

[tex]f(x)=\mid x \mid[/tex]

So we need to use this function in order to obtain:

[tex]g(x)=\mid x+2 \mid -4[/tex]

Recall that to translate a function vertically, we use the following rule:

[tex]g(x)=f(x)+k \\ \\ \bullet \ If \ k0 \ the \ graph \ of \ f(x) \ is \ translated \ k \ units \ up \\ \\ \bullet \ If \ k[/tex]

And to translate a function horizontally, we use the following rule:

[tex]g(x)=f(x+c) \\ \\ \bullet \ If \ c0 \ the \ graph \ of \ f(x) \ is \ translated \ c \ units \ to \ the \ left \\ \\ \bullet \ If \ c[/tex]

Since:

[tex]c=20 \ and \ k=-4[/tex]

Then:

g(x) is the translation of f(x) 2 units to the left and 4 units down

Learn more:

Transformations in real-world problems:

#LearnWithBrainly


[tex]Use the given parent function f(x)=|x| to graph g(x)=|x+2|-4. use the ray tool and select two points[/tex]

[tex]f(x)=-21\sqrt{x+4}[/tex].

Step-by-step explanation:

We have been given a parent function [tex]f(x)=3\sqrt{x}[/tex].  We are asked to reflect our given function across the x-axis, vertically stretch by a factor of 7, shifted left 4.

We will perform the transformation in the given order.

First of all, we will reflect the function  [tex]f(x)=3\sqrt{x}[/tex]. across x-axis.

We know that when a function g(x) is reflected x-axis it becomes [tex]-g(x)[/tex], so our function after reflection across x-axis would be [tex]f(x)=-3\sqrt{x}[/tex].

Now, we will vertically stretch the function.

We know that to stretch a function g(x) vertically, we need to multiply it by factor of stretch. So our function after vertical stretched by a factor of 7 would be [tex]f(x)=7(-3\sqrt{x})=-21\sqrt{x}[/tex].

To shift graph by 4 units to left, we will add 4 under square root function as:

[tex]f(x)=-21\sqrt{x+4}[/tex]

Therefore, our required function would be [tex]f(x)=-21\sqrt{x+4}[/tex].

Look to the attached graph

Step-by-step explanation:

* Lets explain the difference between the graphs of f(x) and g(x)

∵ f(x) = IxI

∵ g(x) = IxI - 4

- If we add are subtract f(x) by k, where k is a constant that means

 we translate f(x) vertically

- If g(x) = f(x) + k

∴ f(x) translated vertically k units up

- If g(x) = f(x) - k

∴ f(x) translated vertically k units down

∵ g(x) = IxI - 4

∵ f(x) = IxI

∴ g(x) = f(x) - 4

∴ f(x) translated vertically 4 units down

∴ The graph of f(x) will translate down 4 units

∵ The origin point (0 , 0) lies on f(x)

∴ The origin point (0 , 0) will translate down by 4 units

∴ Its image will be point (0 , -4)

∴ Point (0 , -4) lies on the graph of g(x)

- So you can translate each point on the graph of f(x) 4 units down to

 graph g(x)

# Two point on the left part

∵ Point (-2 , 2) lies on f(x)

∴ Its image after translation 4 units down will be (-2 , -2)

∴ Point (-2 , 2) lies on g(x)

∵ Point (-7 , 7) lies on f(x)

∴ Its image after translation 4 units down will be (-7 , 3)

∴ Point (-7 , 3) lies on g(x)

# Two point on the right part

∵ Point (3 , 3) lies on f(x)

∴ Its image after translation 4 units down will be (3 , -1)

∴ Point (3 , -1) lies on g(x)

∵ Point (8 , 8) lies on f(x)

∴ Its image after translation 4 units down will be (8 , 4)

∴ Point (8 , 4) lies on g(x)

* Now you can draw the graph with these 5 points


[tex]Use the given parent function f(x) = |x| to graph g(x) = |x| -4. use the ray tool and select two poi[/tex]

no

Step-by-step explanation:

the answer is no because the quantum formula states that a quantum state is a mathematical entity that provides a probability distribution for the outcomes of each possible measurement on a system. Quantum states that cannot be written as a mixture of other states are called pure quantum states, while all other states are called mixed quantum states.

See attachment

Step-by-step explanation:

The given parent function is: [tex]f(x)=|x|[/tex].

We want to graph [tex]g(x)=|x|+5[/tex] using the parent function  [tex]f(x)=|x|[/tex].

Observe that g(x) can be rewritten as: [tex]g(x)=f(x)+5[/tex]

The graph of g(x) is obtained by shifting the graph of f(x) up by 5 units.

The vertex of g(x) will now be at (5,0)

See attachment.


[tex]use the given parent function f(x)=|x| to graph g(x)=|x|+5 use the ray tool and select two points t[/tex]

Shift the graph up 3 units.

The plus 3 shifts the graph 3 units up from where it is.

See the attached picture:


[tex]30 points for a correct answer in ! use the given parent function f(x)=|x| to graph g(x)=|x|+3 . us[/tex]

you have to skip 3 lines to put do the graph

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