Question

write the equation the graph of y=x^2 is vertically stretched by a factor of 9, and the resulting graph is reflected across the x-axis

Answer 1

wrong again
y = -9x^2

Answer 2

To vertically stretch the graph of y = x^2 by a factor of 9, we replace y with 9y:

9y = (x^2)

To reflect the resulting graph across the x-axis, we need to change the sign of y. Therefore, the equation becomes:

-9y = (x^2)

Simplifying the equation, we can divide both sides by -9:

y = -(1/9)(x^2)

Therefore, the equation of the graph after it is vertically stretched by a factor of 9 and reflected across the x-axis is:

y = -(1/9)(x^2)

Answer 3

Apologies for the incorrect previous response. You are correct, when the graph of y = x^2 is vertically stretched by a factor of 9 and reflected across the x-axis, the equation becomes:

y = -9x^2