rewrite the function f(x)=3(x-1)^2+9 in the form f(x)=ax^2+bx+c

Answers

Answer 1

Answer:

f(x) = 3x² - 6x + 12

General Formulas and Concepts:

Order of Operations: BPEMDAS Expand by FOIL (First Outside Inside Last) Standard Form: f(x) = ax² + bx + c Vertex Form: f(x) = a(bx + c)² + d

Step-by-step explanation:

Step 1: Define function

Vertex Form: f(x) = 3(x - 1)² + 9

Step 2: Find Standard Form

Expand by FOILing:                         f(x) = 3(x² - 2x + 1) + 9Distribute 3:                                      f(x) = 3x² - 6x + 3 + 9Combine like terms (constants):     f(x) = 3x² - 6x + 12

Related Questions

9a + 8 - 20-3-50
Answer

Answers

Answer:

9a-65

Step-by-step explanation:

simply write 9a+(add the remaining numbers all together)

8^x=2 what is x please help

Answers

x=1/3 Here is the work:

Answer:

Step-by-step explanation:

8 = 2^3

So 8^x =2 is 2^3x =2

Now they are same base.

So 3x =1 , x= 1/3

The population of Afghanistan is growing at a rate of 1.3% per year. In 2014 there were 30 million people in Afghanistan. The population (in millions) of Afghanistan x years after 2014 can be approximated by the function
f(x)=30(1.013)^x

a. Use the function to predict the population in Afghanistan in 2024.
b. Use the function to predict the population in Afghanistan in 2100.
c. Use the function to predict when (during what year) the population of Afghanistan will reach 50 million. (Feel free to use the online equation solver and/or grapher for this one.)

Answers

I’m gonna go with answer B
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