Question

Using the equation, y=3(x-1)² 2, determine if the parabola will open upward or downward. Then, determine if the parabola will be narrower or wider. Explain how you arrived at your answer.

Answer 1

The parabola will open upward. The width cannot be determined without the coefficient of x.

Step-by-step explanation:

To determine if the parabola will open upward or downward, we need to examine the coefficient of the quadratic term, which is the term with the variable x².

In the given equation, y = 3(x-1)² + 2, the coefficient of x² is positive, which means the parabola will open upward.

To determine if the parabola will be narrower or wider, we can compare the coefficient of the quadratic term to the coefficient of the linear term, which is the term with the variable x.

In this case, the coefficient of x² is 3 and the coefficient of x is not given.

Without the coefficient of x, we cannot determine if the parabola will be narrower or wider.