Step-by-step explanation for a 15-year-old: how to translate f(x)=x^2 ten units left and write the result in the form a(x–h)^2+k with integer a, h, k.
To shift the graph of f(x)=x^2 ten units to the left, replace x with x+10 (moving left means adding to x). So:
Therefore: g(x) = 1(x - (-10))^2 + 0 = (x+10)^2
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