The graph of which quadratic equation is shown below?
(picture will be attatched)
y = x^2 + 6x − 5
y = x^2 − 6x − 5
y = −x^2 − 6x − 5
y = −x^2 + 6x − 5
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OpenStudy (anonymous):
OpenStudy (anonymous):
i need help
OpenStudy (anonymous):
@Tyler1992
OpenStudy (anonymous):
well the vertex of the graph you have given is (3,4) so you need to find the vertex of each of the equations you have given to see which one it is. Your equations are in the form \[y = ax^2 + bx + c\] and the vertex is \[(-\frac{b}{2a}, \frac{4ac - b^2}{4a})\]
OpenStudy (anonymous):
all you have to do is plug in numbers and compare
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OpenStudy (anonymous):
plug them in where?
OpenStudy (anonymous):
plug the numbers into the vertex equation and see if you get the result (3,4)
OpenStudy (anonymous):
i got b as the answer but idk
OpenStudy (anonymous):
well lets see
OpenStudy (anonymous):
ok
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OpenStudy (anonymous):
\[-\frac{b}{2a} = - \frac{-6}{2} = 3 \] so far so good\[\frac{4ac - b^2}{4a} = \frac{4(1)(-5) - (-6)^2}{4} = 14\]
OpenStudy (anonymous):
not b :/
OpenStudy (anonymous):
oh
OpenStudy (anonymous):
where do u get 1 from?
OpenStudy (anonymous):
coefficient in front of the x is 1
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OpenStudy (anonymous):
is it + 6x-5?
OpenStudy (anonymous):
ohhhhh ok
OpenStudy (anonymous):
x^2 i mean
OpenStudy (anonymous):
the whole thing is 1
OpenStudy (anonymous):
the answer is D
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