If -f(x), or reflection across the x-axis, is done on .7x - 4, then is the new equation -.7x + 4?
Yes, if you perform a reflection over the x-axis, also known as negating the function, on the equation .7x - 4, the new equation will be -.7x + 4.
To understand how this transformation is done, follow these steps:
1. Start with the original equation: .7x - 4.
2. Negate the function by changing the sign of the term involving the variable x. In this case, the coefficient of x is positive, so we change it to negative: -.7x.
3. Keep the constant term unchanged. In this case, the constant term is -4, which remains the same.
Putting it all together, when you negate the original equation .7x - 4, you get the new equation -.7x + 4.