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:
<u>Step 1: Define function</u>
Vertex Form: f(x) = 3(x - 1)² + 9
<u>Step 2: Find Standard Form</u>
- Expand by FOILing: f(x) = 3(x² - 2x + 1) + 9
- Distribute 3: f(x) = 3x² - 6x + 3 + 9
- Combine like terms (constants): f(x) = 3x² - 6x + 12
Answer:
a = 27
b = 38
c = 19
Step-by-step explanation:
a + b + c = 84
b = 2c
a = 8+c
8+c +2c+c = 84
4c + 8 = 84
4c = 76
c = 19
b = 2(19) = 38
a = 8 + 19 = 27
C^6, because you have to add the exponents together if you have a common base.
Answer:
yes
Step-by-step explanation:
To figure out if a point works with it's equation, you should replace the x and y with the point you got
-8 > 3(-5)+6
-8 > -15 +6
-8 > -9
Since -8 is bigger than -9, point (-5,-8) is true to the equation.
and as seen in the graph I have attached, the point does infact reside in the shaded in area. If you haven't learned how to graph this type of equation, you may disregard the graph :)
If you have any questions at all, don't be afraid to ask :)
Answer:
375 students do not like red
