A quadratic equation has the general form
of: <span>
y=ax² + bx + c
It can be converted to the vertex form in order
to determine the vertex of the parabola. It has the standard form of:
y = a(x+h)² - k
This can be done by completing a square. The steps are as follows:
</span><span>y = 3x2 + 9x – 18 </span>y = 3(x2 <span>+ 3x) – 18 </span>y + 27/4= 3(x2 <span>+ 3x+ 9/4) – 18 </span>y = 3(x2 + 3/2)^2 – 99<span>/4 </span> Therefore, the first step is to group terms with the variable x and factoring out the coefficient of x^2.
The answer to this question is <span>B. (sqrt 2, 315 degrees). This polar coordinate is the only coordinate with its angle in quadrant 4 and a length of √1^2 + (-1)^2 = √2.</span>
