Respuesta :
The vertex form of the given equation is y=(x+4)²+2.
Write the quadratic function y = x²+ 8x + 18 in vertex form.
We need to write the given quadratic function in vertex form.
What vertex form of a quadratic function?
The vertex form of a quadratic function is f(x) = a(x – h)² + k, where a, h, and k are constants.
Add and subtract the square of half of the x coefficient.
That is, (8/2)²=16
Now, y=x²+ 8x+16 + 18-16
⇒y=(x+4)²+2
Therefore, the vertex form is y=(x+4)²+2.
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Write the quadratic function in vertex form. y = x² + 8x + 18.
