Question

If (f(x) = x²) is vertically stretched by a factor of 8 to (g(x)) and reflected off the x-axis, what is the equation of (g(x))?

A: (g(x) = -x² + 8)
B: (g(x) = x² - 8)
C: (g(x) = (-8x)²)
D: (g(x) = -8²)

Answer 1

To vertically stretch f(x) = x² by a factor of 8 and reflect it off the x-axis, the equation of g(x) is g(x) = -8x².

Step-by-step explanation:

In order to vertically stretch a function, we multiply the function by a constant. Therefore, to vertically stretch f(x) = x² by a factor of 8, we have g(x) = 8x². In order to reflect a function off the x-axis, we negate the function. So, the equation of g(x) after reflection is g(x) = -8x².