Question #42987
Write the quadratic function in vertex form.
y = x2 + 16x + 74
help and show work
y = x2 + 16x + 74
help and show work
Expert's answer
The vertex form of a quadratic function is given by
f (x) = a(x - h)2 + k, where (h, k) is the vertex of the parabola. Therefore we get
y=x2+16x+74=x2+16x+64+10
Using formula (a+b)2=a2+2ab+b2 we obtain
y=(x+8)2+10.
f (x) = a(x - h)2 + k, where (h, k) is the vertex of the parabola. Therefore we get
y=x2+16x+74=x2+16x+64+10
Using formula (a+b)2=a2+2ab+b2 we obtain
y=(x+8)2+10.
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#340153 on Dec 2023
#340153 on Dec 2023
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