Rewrite the function by completing the square. h(x)= x^{2} +3 x -18 left parenthesis, x, right parenthesis, equals, x, squared, plus, 3, x, minus, 18 h(x)=h(x)=h, left parenthesis, x, right parenthesis, equals (x+(x+left parenthesis, x, plus )^2+) 2 +right parenthesis, squared, plus
1 answer:
Answer:
h(x) = (x +1.5)^2 -20.25
Step-by-step explanation:
We assume you want to rearrange h(x)= x^2 +3x -18.
Recognize the coefficient of x is 3. Add and subtract the square of half that. (3/2)^2 = 9/4 = 2.25
h(x) = (x^2 +3x +2.25 ) -18 -2.25
Now, write the expression in parentheses as a square, simplify the constant.
h(x) = (x +1.5)^2 -20.25 . . . . . . . . vertex form
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C 28
Step-by-step explanation:
Put the given value where x is in the expression and do the arithmetic.
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= 22 -3 +9
= 19 +9
= 28
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Answer: 40b - 16 </h3>
Work Shown:
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Step-by-step explanation:
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