Hello!
This question is about which values you are changing when you are transforming an equation.
Let's go through the parent function for an absolute value equation and its various transformations.
Since we are only looking at horizontal and vertical transformations, we only need to worry about the c and d values.
The c value of a function determines a function's horizontal position, and the d value of a function determines a function's vertical position.
One thing to note here is that the c value is being subtracted from the x value, meaning that if the function is being transformed to the right, you would actually be subtracting that value, while the d value behaves like a normal value, if it is being added, the function is transformed up, and vice versa.
Now that we know this, let's write each expression.
a) 
b) 
c) 
d) 
Hope this helps!
Answer:
In the complex number 4 + 2i, 4 is the <em>real </em>part. In the complex number 4 + 2i, 2 is the <em>imaginary </em>part.
Step-by-step explanation:
The two parts of the complex number are called the <em>real</em> part and the <em>imaginary</em> part. The imaginary part is identified by its multiplier of <em>i</em>.
In the given number, the 2 is multiplied by i, so 2 is the imaginary part. The other part, 4, is the real part.
Answer:
1.50S + 2.50P > 20
Step-by-step explanation:
Answer:
49.65$
Step-by-step explanation:
(20.40 x 2) + 8.85 = 49.65 $
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Example: f(x) = 2x+3 and g(x) = x2
"x" is just a placeholder. To avoid confusion let's just call it "input":
f(input) = 2(input)+3
g(input) = (input)2
Let's start:
(g º f)(x) = g(f(x))
First we apply f, then apply g to that result:
Function Composition
- (g º f)(x) = (2x+3)2
What if we reverse the order of f and g?
(f º g)(x) = f(g(x))
First we apply g, then apply f to that result:
Function Composition
- (f º g)(x) = 2x2+3
We get a different result! When we reverse the order the result is rarely the same. So be careful which function comes first.
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