Simple Quadratic Equations

Feedback: Not quite! When $a$ is positive, the parabola opens upward.

Feedback: Not quite! When $a$ is negative, the parabola opens downward. The width of the parabola depends on the absolute value of $a$. Without knowing the exact value of $a$, we can't determine if the parabola is wide or narrow.

Feedback: Not quite! When $a = 4$, the parabola opens upward because $a$ is positive. Since the absolute value of $a$ is greater than 1, the parabola becomes narrower compared to when $a = 1$.

Feedback: Not quite! When $a = 0.5$, the parabola opens upward because $a$ is positive. Since the absolute value of $a$ is less than 1, the parabola is wider compared to when $a = 1$. A smaller value of $a$ makes the curve flatter.

Feedback: Not quite! When $a = -2$, the parabola opens downward because $a$ is negative. Since the absolute value of $a$ is greater than 1, the parabola is narrower compared to when $a = 1$.

Feedback: Not quite! When $a = -0.5$, the parabola opens downward because $a$ is negative. Since the absolute value of $a$ is less than 1, the parabola is wider compared to when $a = 1$. A smaller absolute value of $a$ makes the curve flatter.