Subtracting inside the functionf(x) = 2(x – 3)²
Moves 3 units right along the x-axis
To subtract inside the function f(x) = 2(x – 3)², you can follow the order of operations (PEMDAS) and simplify the expression by first subtracting the value inside the parentheses, then squaring the result, and finally multiplying by 2.
Here are the steps:
1. Start with the function f(x) = 2(x – 3)².
2. Subtract a value from inside the parentheses, say 1. This gives: f(x) = 2(x – 3 – 1)².
3. Simplify the expression inside the parentheses: x – 3 – 1 = x – 4. This gives f(x) = 2(x – 4)².
4. Now, you can expand the square by multiplying (x – 4) by itself: f(x) = 2(x – 4)(x – 4).
5. Multiply the two terms inside the parentheses using FOIL method:
f(x) = 2(x^2 – 4x – 4x + 16)
f(x) = 2(x^2 – 8x + 16)
6. Simplify the expression by multiplying 2 by each term inside the parentheses:
f(x) = 2x^2 – 16x + 32
So, when you subtracted 1 inside the function, you ended up with the final expression f(x) = 2x^2 – 16x + 32.
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