Write a function in vertex form that is translated 3 units down and 3 units to the right of f (x) = x^2
f (x) =

Answer:

f(x)= (x-3)^2-3

Step-by-step explanation:

Vertex Form: y= a(x-h)^2+k

a is the reflection

h and k are the vertex so in an ordered pair (x,y) = (h,k)

Since it is translating 3 units down it is going to be a negative 3.  If it was translating up it would be positive 3.  This represents the "k" because it is moving on the y-axis.

Since it is translating 3 units to the right it is going to be positive 3.  If it was translating left it would be negative 3. This represents the "h" because it is moving on the x-axis.

After plugging it into the vertex form formula: f(x)= (x-3)^2-3

*notice when I plugged the "h" in it became negative because x-(3)= x-3*

(10) The population of bacteria an experiment can be modeled by d p(d)= 400(1.56)^d , where d is the number of days the population has been growing.

(a) Find the average rate the population has been growing over the interval 0≤d≤7.
Round to the nearest integer and include appropriate units.

(b) If the population of bacteria was modeled as a function of the number of hours, h,
such that h p(h)= 400b^h then what would be the value of b to the nearest thousandth?
Show or explain how you found your answer.

can someone help me with this I already answered half of all of them but I need to make sure It's right?

A right rectanular prism has a length of 2 a width of 4 and a height of 5. How many unit cubes can fit in the prism

If you bought 28 shares of stock at $30/sh and sold them at $25/sh. And How much did you net after selling the shares? Was it a profit or a loss?

This practice contains 15 questions. If you get 3 incorrect, what will your percent grade be? Hint: Grades are based on correct questions/total questions.

A. 30%
B. 0.8%
C. 20%
D. 80%

Latoya just bought a refrigerator for $931. She paid $139.80 in a down payment and will pay the rest in 4 equal installments. How much does she need to pay for each installment?

please help brainliest included for honest attempt
Think of two different technological innovations that occurred in the last 50 years: one that relied largely on innovations within a specific technology (for example, the upgrades that smartphones have seen over the years) and one that relied largely on knowledge or skills that came from a field of technology that was distinct from the main field that innovation deals with (for example, video games that use technology originally designed for navigation). Briefly describe each innovation and what inspired it, then compare the innovations: for example, which innovation seems more of an incremental improvement versus a paradigm-shift in its field? Which one do you think was more widely used in the five years after it was invented? Which one most inspired other innovations?

How do I find the volume?

3
Andre sold 43 magazines at his mom's work, 32 at his dad's work, 18 around his
neighborhood, and 3 at home. What is the mean of the magazines he sold?

If a fair coin is tossed 6 times, what is the probability, to the nearest thousandth, of getting exactly 6 tails?

On average five birds hit the Washington Monument and are killed each week. Joe, an
official, has requested that Congress allocate funds for equipment to scare birds away
from the monument. A congressional subcommittee has replied that funds cannot be
allocated unless the probability of more than three birds being killed in any week
exceeds 70%. Will funds be allocated?

PLEASE HELP I WILL GIVE BRAINLIEST

Write an equation of a parabola with the given vertex and focus. Vertex (3,-2); focus (3,-3). Y=

The numbers 4 through 14 are placed in a bowl and drawn at random then replaced after being drawn.What is the probability that you will choose an even number

A group of researchers wants to estimate the difference in time it takes to heal enough to return to work after knee replacement surgery using two different physical therapy plans. They plan to use the data in the following table to construct a two-sample t interval.

Therapy plan A B
Mean healing time (weeks) 8.2 6.8
Standard deviation (weeks) 1.5 0.9
Number of participants 45 60

Which of the following are conditions for this type of interval?

Choose all answers that apply:


A. The times for each participant are independent of each other.


B. The distributions of times in the population are approximately normal.


C. Each sample includes equal numbers of men and women.

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look at picture for information .​

Please help with this