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natalie857123
19.12.2019 •
Mathematics
Which zero pair could be added to the function f(x)=x^2+12x+6 so that the function can be written in vertex form?
a) 3,-3
b)6,-6
c)9,-9
d)36,-36
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Ответ:
Let us convert the standard form into vertex form.
1) Complete the squares. Isolate x² and x terms.
y - 6 = x² + 12x
2) Create the perfect square trinomial. Whatever number is added on one side must also be added on the other side.
y - 6 + 36 = x² + 12x + 36
y + 30 = (x + 6)²
y = (x + 6)² - 30 ← Vertex form
To check:
y = (x + 6) (x + 6) - 30
y = x² + 6x + 6x + 36 - 30
y = x² + 12x + 6
The zero that could be added to the given function is 36, -36
Ответ:
Correct
Step-by-step explanation: