Describe the transformation of each function compared to its parent function.
I need help please!

Step-by-step explanation:

In general, for all problems like this, remember the acronym VOHI:

vertical outside, horizontal inside.

1. The parent function here would be [tex]f(x)=x^{2}[/tex]. 4 has been subtracted from the inside, so it is a horizontal change. You might think that it is moving left 4, but it's actually moving right 4. There is a reason for this, but it's not necessary for you to know right now. All you need to remember is that when inside the parentheses, minus means moving right, and plus means moving left. You also have a 9 added to the outside. Vertical outside. This is a vertical change, meaning up and down. This function has been moved right 4 and up 9.

2. First, the parent function is again [tex]f(x)=x^{2}[/tex]. This time, we have [tex]\frac{1}{4}[/tex] on the outside of our function. This means it is a vertical transformation. When the value on the outside is > 1, it is a vertical stretch. When the value is between 0 and 1 (0<a<1), it is a vertical shrink. [tex]\frac{1}{4}[/tex] is between 0 and 1. So, this is a vertical shrink by a factor of [tex]\frac{1}{4}[/tex]. Next, there is a 6 on the inside of the parentheses, meaning a horizontal translation. Remember from problem 1, though, minus=right and plus=left. So, this function has been vertically shrunk by [tex]\frac{1}{4}[/tex] and moved left 6.

3. Again, parent function: [tex]f(x)=x^{2}[/tex]. This one just has [tex]\frac{3}{2}[/tex] on the outside. We know that it's on the outside because otherwise there would be parentheses around both [tex]\frac{3}{2}[/tex] and x. There is not, so it is outside. Outside, vertical. This is a vertical change. Looking back at problem two, when a value is >1, which this is, it is a vertical stretch. So this function has a vertical stretch by [tex]\frac{3}{2}[/tex].

I hope this helps!

Transformation involves changing the position and/or size of a function.

The transformations are:

[tex]\mathbf{1.\ f(x) = (x - 4)^2 +9}[/tex]

The above function is a square function, and the parent function is:

[tex]\mathbf{f(x) = x^2}[/tex]

First, the function is translated right by 4 units (this is represented by subtracting 4 from x.

i.e.

[tex]\mathbf{f(x) = (x - 4)^2}[/tex]

Next, the function is translated up by 9 units (this is represented by adding 9 to the value of y.

i.e.

[tex]\mathbf{f(x) = (x - 4)^2 + 9}[/tex]

So, the transformation from the parent function is: Translate f(x), 4 units right, and 9 units up.

[tex]\mathbf{2.\ f(x) = \frac 14(x + 4)^2}[/tex]

The above function is a square function, and the parent function is:

[tex]\mathbf{f(x) = x^2}[/tex]

First, the function is translated left by 4 units (this is represented by adding 4 from x.

i.e.

[tex]\mathbf{f(x) = (x + 4)^2}[/tex]

Next, the function is vertically compressed a factor of 1/4 (this is represented by multiplying the function by 1/4

i.e.

[tex]\mathbf{f(x) = \frac 14(x + 4)^2}[/tex]

So, the transformation from the parent function is: Translate f(x), 4 units left, then compress f(x) vertically by 1/4

[tex]\mathbf{3.\ f(x) = \frac 32x^2}[/tex]

The above function is a square function, and the parent function is:

[tex]\mathbf{f(x) = x^2}[/tex]

The function is vertically stretched a factor of 3/2 (this is represented by multiplying the function by 3/2

i.e.

[tex]\mathbf{f(x) = \frac 34 \times x^2}\\[/tex]

[tex]\mathbf{f(x) = \frac 34 \timex x^2}[/tex]

So, the transformation from the parent function is: Vertically stretch f(x) by 3/2

Read more about transformations at:

https://brainly.com/question/13801312

please help (picture provided shows question)

Examine the diagram.

A triangle has angles 2, 4, 3. A line extends past angles 3 and 2 to form exterior angle 1.

Name one of the remote interior angles to the exterior angle in the diagram.
Angle 1
Angle 2
Angle 3

How can you use a table to determine whether the relationship between two quantities is proportional?

Please help i am confused.

How much pure alcohol must a nurse add to 10 cubic centimeters of a 60% alcohol solution to strengthen it to a 90% solution? Plsss help ASAP

Stefan sells Jin a bicycle for ​$152 and a helmet for ​$.16 The total cost for Jin is 140​% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend​ originally? How much money did he make by selling the bicycle and helmet to​ Jin?

1. The aspect ratio of a display is the proportional relationship between the width of a
display and its height. In 2012, 16 : 9 became the most common aspect ratio for
computer displays. If the width of a large screen television is 90 inches, what is
the height using this aspect ratio, to the nearest inch?

A 51 inches
B 71 inches
C 97 inches
D 160 inches​

Please help me ASAP!!

A chord PQ of length 13cm is drawn in a circle with center C and a radius of 10.2cm.
Find;
i) Angle PCQ
ii)The area of the sector PQRC
iii)The area of the minor segment

I need help plsssssssss

Select all ratios that are in their simplest form.
A 25:24
B 19:24
C 23:24
D 11:16
E 27:18

A tennis team bought 8 yards of red fabric to make head bands. If each head band takes 2
3
of a yard of fabric, how many head bands can the team make?

A baker decorates 42 cupcakes in 30 minutes. She decorates cupcakes at a constant rate.
How many cupcakes can the baker decorate per minute?​

Xiaoming is making cookies. Each batch of cookies uses3 eggs. If Xiaoming has 20 eggs, and assuming he has enough of the other ingredients to make the cookies what is the greatest number of batches that he can make ?

An animal shelter provides a bowl with 1.15 liters of water for 6 cats. About how much water will be left after the cats drink their average daily amount of water?

Solve for X
1/5x +5=61/15+2/3x

Which list orders -3,2,5, -1 From least to greatest

A plane flew at a constant speed between Denver and Chicago.

It took the plane 1.5 hours to fly 915 miles.

How far would the plane fly in 10 hours at this speed?

Help plss !!
I'm behind D': !!!!!

Every week, a car dealer ship sells at least 5 minivans. Write an inequality that represents this situation. Let c represent the number of minivans sold each week.

[tex] {16}^{ - 2x} = 32[/tex]
find x​

The cost of 4 pounds of bananas is $3.52. What is the constant of proportionality that relates the cost of dollars, y, to the number of pounds of bananas, x?

Water makes up about 71% of Earth's surface, while the other 29% consists of continents
and islands. 96% of all Earth's water is contained within the oceans as salt water, while the
remaining 4% is fresh water located in lakes, rivers, glaciers, and the polar ice caps.
If the total volume of water on Earth is 1,386 million cubic kilometers, what is the volume
of salt water? What is the volume of fresh water? please help

Chuck's collection of 19 marbles. He has 3 yellow marbles, 4 red marbles, 4 orange marbles, 2 purple marbles, 1 green marble, and 5 blue marbles.



What is the ratio of green marbles to red marbles in his collection?

A.
1 to 4
B.
1 to 19
C.
4 to 1

Consider the expression –3(y – 5)2 – 9 + 7y.

Which statements are true about the process and simplified product? Check all that apply.

The first step in simplifying is to distribute the –3 throughout the parentheses.
There are 3 terms in the simplified product.
The simplified product is a degree 3 polynomial.
The final simplified product is –3y2 + 7y – 9.
The final simplified product is –3y2 + 37y – 84.

y=x+ 2
Type an (x,y) ordered pair that is a solution to this
equation.

pLease help and thanks

If we multiply 0.8 by 1/50, we get 0.8 × 1/50 = 0.8/50 = 0.016 meter. So, we can say 0.016 meter wide should the door be on the scale drawing, if the ratio is 1 to 50.

Two sides of a rectangle differ by 3.5cm.Find the dimensions of the rectangle if its perimeter is 67cm.
the answer should contain step by step and understandable explanation.

The ratio of cats and dogs is 6:13. If there are a total of 117 dogs, how many cats are there