When you have an algebraic expression including brackets, you always multiply what's on the inside by what is on the outside. This means that you would do -2 × 5x = -10x, and then -2 × -6 = 12, so your answer would be -10x + 12.
I hope this helps!
The attached graph represents the graph of the function g(x)
<h3>How to determine the function g(x)?</h3>
The function f(x) is an absolute value function.
An absolute value function is represented as:
y = a|x - h| + k
Where
Vertex = (h, k)
From the graph, we have:
(h, k) = (-3, -2)
So, we have:
y = a|x + 3| - 2
Also, we have:
(x, y) = (-1, 0)
So, we have:
0 = a|-1 + 3| - 2
This gives
0 = 2a - 2
Solve for a
a = 1
Substitute a = 1 in y = a|x + 3| - 2
y = |x + 3| - 2
This means that
f(x) = |x + 3| - 2
We have:
g(x) = 2f(x)
This means that:
g(x) = 2(|x + 3| - 2)
So, we have:
g(x) = 2|x + 3| - 4
See attachment for the graph of g(x)
Read more about absolute value functions at:
brainly.com/question/10664936
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As i said before put the center instead of (h,k) in the general formula and put r=1
so (x-(-2))^2 + (y-(-5)^2 = 1
(x+2)^2 + (y+5)^2 = 1
Answer:
How to do integers operations?
Integers are whole numbers, both positive and negative. You can perform four basic math operations on them: addition, subtraction, multiplication, and division. When you add integers, remember that positive integers move you to the right on the number line and negative integers move you to the left on the number line
Cómo hacer operaciones con números enteros?
Los enteros son números enteros, tanto positivos como negativos. Puede realizar cuatro operaciones matemáticas básicas con ellos: suma, resta, multiplicación y división. Cuando sume números enteros, recuerde que los números enteros positivos lo mueven hacia la derecha en la recta numérica y los enteros negativos lo mueven hacia la izquierda en la recta numérica.
Step-by-step explanation: