Question

The parabola y=x² is reflected across the x-axis and then scaled vertically by a factor of 4/3. What is the equation of the new parabola?

Answer 1

The new equation of the parabola after reflecting across the x-axis and scaling vertically by a factor of 4/3 is y = -(4/3)x².

Step-by-step explanation:

The student is asking for the equation of the new parabola after the original parabola y = x² is reflected across the x-axis and vertically scaled by a factor of 4/3. The reflection across the x-axis changes the sign of y, turning the equation into y = -x². Then, scaling vertically by 4/3 will multiply the y-value by 4/3, resulting in the new equation y = -(4/3)x².