Answer:
inequality notation: x > -1
interval notation (-1, ∞)
Answer:
A'(-4, 3)
Step-by-step explanation:
The given point is A(-2,4).
If this point is translated by the rule:
, then we can obtain the image of A(-2,4) by plugging x=-2 an y=4 into the rule.
The correct choice is A'(-4, 3)
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Step-by-step explanation:
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Answer:
a = 2, b = - 3, c = - 8
Step-by-step explanation:
Expand f(x) = a(x + b)² + c and compare coefficients of like terms, that is
a(x + b)² + c ← expand (x + b)² using FOIL
= a(x² + 2bx + b²) + c ← distribute parenthesis by a
= ax² + 2abx + ab² + c
Compare like terms with f(x) = 2x² - 12x + 10
Compare coefficients x² term
a = 2
Compare coefficients of x- term
2ab = - 12, substitute a = 2
2(2)b = - 12
4b = - 12 ( divide both sides by 4 )
b = - 3
Compare constant term
ab² + c = 10 , substitute a = 2, b = - 3
2(- 3)² + c = 10
18 + c = 10 ( subtract 18 from both sides )
c = - 8
Then a = 2, b = - 3, c = - 8
