If you shift the quartic parent function, F(x) down 7 units and reflect it across the y-axis, what is equation of the new function?

Answer:The new function g(x) will be ⇒ g(x) = f(-x)² - 7Step-by-step explanation:* Lets take 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)- If the function f(x) translated horizontally to the right  by h units, then the new function g(x) = f(x - h)- If the function f(x) translated horizontally to the left  by h units, then the new function g(x) = f(x + h)- If the function f(x) translated vertically up  by k units, then the new function g(x) = f(x) + k- If the function f(x) translated vertically down  by k units, then the new function g(x) = f(x) - k* In the problem - You will shift f(x) 7 units down and reflect it across the y-axis- That means we will subtract f(x) by 7 and change x to -x* The new function g(x) will be  g(x) = f(-x) - 7* Look to the graph- The red graph is f(x) = x²- The blue graph is g(x) = (-x)² - 7