Looking at Graph D:
- The parabola opens upward (good, matches our function)
- The vertex appears to be at approximately (0.3, -1), which doesn't match our calculated vertex (0.33, 0.67)
- The y-intercept appears to be at (0, -1), which doesn't match our function's y-intercept of (0, 1)
Therefore, for question 2, Graph B is the correct answer.
Final Answer:
1) A
2) B
Explanation:
For question 1, y = 2x - 2 is a linear function with slope 2 and y-intercept -2. Graph A is the only linear graph that passes through (0, -2) and has a slope of 2.
For question 2, y = 3x² - 2x + 1 is a quadratic function with a positive leading coefficient (opens upward), vertex at approximately (0.33, 0.67), and y-intercept at (0, 1). Graph B is the only parabola that matches these characteristics.
Parent Tip: Review the logic above to help your child master the concept of graphing polynomials worksheet.
