Answer:
f(x) = 3
Step-by-step explanation:
f(0) = 3 means you have the ordered pair (0, 3)
f(-6) = 3 means you have the ordered pair (-6, 3)
Form this point, you can look at the ordered pair and see that the y values are the same but the x values are difference. This is a line with slope = 0 and the graph of the line is horizonal .
But if you need more explanation see below.
1. Find the slope using the ordered pair above
slope = (3 - 3)/ (-6 - 0) = 0/-6 = 0 so the slope = 0
2. Find the y intercept (b) by using the slope intercept formula: y = mx + b
y = mx + b
3 = 0(0) + b
3 = b
equation of the line: y = 0x + 3; y = 3 remember y = f(x)
so f(x) = 3
If you multiply everything by 6, you can get rid of all of the fractions and it’ll be much easier to solve!
Answer: The correct option is (C). (2, -5).
Step-by-step explanation: The given function is
![g(x)=3x^2-12x+7.](https://tex.z-dn.net/?f=g%28x%29%3D3x%5E2-12x%2B7.)
The vertex form of the function g(x) is ![g(x)=3(x-2)^2-5~~~~~~~~~~~~~~~~~~~~~~(i)](https://tex.z-dn.net/?f=g%28x%29%3D3%28x-2%29%5E2-5~~~~~~~~~~~~~~~~~~~~~~%28i%29)
We know that if the vertex form of a function f(x) is written as
![f(x)=a(x-h)^2+k,](https://tex.z-dn.net/?f=f%28x%29%3Da%28x-h%29%5E2%2Bk%2C)
then its vertex is (h, k).
So, from equation (i), we can say that the vertex of function g(x) is
(2, -5).
Thus, (C) is the correct option.
Answer:
Adding means to, add two or more numbers together to get the sum.
NOTE: If it says sum that's adding.
Subtracting means to, minis the first number from the second number to get the difference.
NOTE: if it says difference that's subtracting.
Step-by-step explanation: