Find the zeros on the function f(x)=(x-3)(2x-8)
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Answer:
Step-by-step explanation:
If we are given a function <em>f</em> and we want to shift it <em>a</em> units horizontally, the resulting function will be f(<em>x</em> - <em>a</em>), where a positive <em>a</em> is a shift rightwards and a negative <em>a</em> is a shift leftwards.
We have the function:
And we want to shift it two units to the left.
Since we want to shift it two units to the left, <em>a</em> = -2. Therefore, our new function, let's call it <em>g</em>, must be f(<em>x</em> - (-2)) or f(<em>x</em> + 2). Substitute:
Simplify. Expand:
Combine like terms. Hence: