What will be the new function g(x) if f(x)=2x is translated 2 units down and 3 units left?
1 answer:
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f(x) = 2(x^2 + 14x + ) - 5 2 is taken out of first 2 terms.
f(x) = 2(x^2 + 14x + (14/2)^2 ) - 5 - 2(14/2)^2
<em><u>2 steps </u></em>
- Inside the brackets: Linear term's coefficient (14) divided by 2 and squared
- Outside the brackets: (14/2)^2 multiplied by 2 and subtract so that there is no change in the value of the quadratic.
f(x) = 2*(x + 7)^2 - 103
The graph is of the original quadratic.
