Final Answer:
A. (−3, −4)
B. (−1, 0) and (−5, 0)
C. (0, 5)
D. x = −3
E. (Sketch not possible in text; turning point at (−3, −4), crosses x-axis at (−1, 0) and (−5, 0), y-axis at (0, 5))
For the repeated steps with $ y = 3x^2 + 6x - 5 $:
A. (−1, −8)
B. $ \left( \frac{-3 + \sqrt{24}}{3}, 0 \right) $ and $ \left( \frac{-3 - \sqrt{24}}{3}, 0 \right) $, or simplified: $ \left( -1 + \frac{2\sqrt{6}}{3}, 0 \right) $ and $ \left( -1 - \frac{2\sqrt{6}}{3}, 0 \right) $
C. (0, −5)
D. x = −1
E. (Sketch not possible in text; turning point at (−1, −8), crosses y-axis at (0, −5), x-axis at two irrational points as above)
Parent Tip: Review the logic above to help your child master the concept of math worksheet and answers.