Q:

If the equation of the line y = 2x - 6 is changed to y = -2x - 6, how is the graph changed?

Accepted Solution

A:
Answer:from sloping up to sloping down ⇒ answer DStep-by-step explanation:* Lets talk about the transformation- If the function f(x) reflected across the x-axis, then the new  function g(x) = - f(x)- If the function f(x) reflected across the y-axis, then the new  function g(x) = f(-x)* Now lets solve the problem∵ The equation of the line is y = 2x - 6∵ The equation is changed to y = -2x - 6- If the both signs of x and the number are changed means the  equation is multiplied by -1∴ The line is reflected across the x-axis- If the sign of x only is changed∴ The line is reflected across the y-axis - From the equation 2x changed to -2x, but -6 not changed∴ The sign of x only changed∴ The line is reflected across the y-axis* The graph is reflected across the y-axis∴ from sloping up to sloping down