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 across the x-axis on the equation .7x - 4, the new equation would be -.7x + 4.

To understand why this is the case, let's break down the concept of reflection across the x-axis. When you reflect a function across the x-axis, you essentially flip the graph upside down. The positive y-values become negative, and the negative y-values become positive.

Now, let's apply this to the equation .7x - 4. To reflect it across the x-axis, we need to change the sign of the y-term. The original equation has a -4 as the y-term, so the reflected equation would have a +4 as the y-term.

The coefficient of x remains the same because reflecting across the x-axis does not affect the x-values or their relationship to the y-values. So, the coefficient of x remains 0.7 in both the original and reflected equation.

Putting it all together, we get the reflected equation as -.7x + 4. This equation represents the same graph as the original, but reflected across the x-axis.