Fill in the missing term so that the quadratic equation has a graph that opens up, with a vertex of
(– 2, – 16), and x intercepts at x = -6 and x = 2.
y = x2 + 4x − ___
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OpenStudy (anonymous):
You can plug in your vertex (-2,-16) for x and y and solve for the unknown number
OpenStudy (anonymous):
so it will be -68?
OpenStudy (anonymous):
No. I'll write it out
OpenStudy (anonymous):
\[y=x^2+4x-A\]
A is the unknown. Plug in y=-16 and x=-2
OpenStudy (anonymous):
Let me know if u need it further
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OpenStudy (anonymous):
y= -60 - A??
OpenStudy (anonymous):
Plug in y=-16 and x=-2
\[-16=(-2)^2+4(-2)-A\]
-16=4-8-A
Add 'A' to both sides
-16+A=-4-A+A
'A' cancels on the right, so u have
A-16=-4
Add 16 to both sides
A-16+16=-4+16
16 npw cancels on the left, so u have
A=-4+16
A=12
OpenStudy (anonymous):
so the answer is 12?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
thank youu
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OpenStudy (anonymous):
LOL Your welcome. You should try and write out the steps next time