The parabola with these solutions is y = x² + 18
Which quadratic equation has these solutions?
Remember that if a quadratic equation:
ax² + bx+ c = 0
Has two solutions x = h and x = k, then we can write the quadratic equation as:
y = a*(x - h)*(x - k)
Here we can take a = 1 because we don't have any restriction, and the roots are:
±3i√2, then we can write:
y = (x + 3i√2)*(x - 3i√2)
Expanding the product we will get:
y = x² - (3i√2)²
y = x² - (-9*2)
y = x² + 18