F(x)+x^2+3x+2 is shifted 2 units left. the result is g(x). what is g(x)?
2 answers:
Adding 2 to all the x's shifts the function left.
g(x) = (x+2)² + 3(x+2) + 2
simplify it a bit ...
g(x) = (x+2)² + 3x + 6 + 2
g(x) = (x+2)² + 3x + 8
g(x) = x² + 4x + 4 + 3x + 8
g(x) = x² + 7x +12
Answer:
g(x) = x² + 7x + 12
Step-by-step explanation:
f(x) = x² + 3x + 2 is shifted 2 units left.
We have to find new function formed g(x)
Shifting of 2 units left means
g(x) = [x-(-2)]² + 3[x-(-2)] +2
= (x+2)² + 3 (x+2) + 2
= x² + 4x + 4 + 3x + 6 + 2
= (x² + 7x + 12)
Therefore, the new function will be g(x) = x² + 7x + 12
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