Question

If (x)=xis vertically stretched by a factor of 3 and reflected over the x-axis

to g(x), what is the equation for g(x)?
A. g(x)=x² +3
B. g(x)= (-3x)2
C. g(x)=x²-3
OD. g(x)=-3x²

Answer 1

The equation for g(x) is g(x) = -3x².

Step-by-step explanation:

To find the equation of g(x) given (x) is vertically stretched by a factor of 3 and reflected over the x-axis, we can start with the equation of (x), which is y = x². First, the vertical stretching by a factor of 3 will change the equation to y = 3x². Then, the reflection over the x-axis will flip the graph upside down, resulting in g(x) = -3x².

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