Consider the function f(x)f of x, shown on the xy-coordinate plane. Identify the equation that will transform f(x)f of x to the function g(x)g of x, as shown.
Identify the equation in the form g(x)=af(x+h)+kg of x equals a times f of the quantity x plus h plus k. Enter a number into each of the blanks.
Answer:Correct! Go to question 3.Incorrect. The answer is
g(x)=-negative1f(x+0)+0g of x equals negative one times f of the quantity x plus zero plus zero.
To form the function g(x)g of x, the function f(x)f of x has been reflected about the x-axis. After the reflection, no translation, dilation (stretch) or reduction (shrink) of the function occurred.
Therefore, we only need to multiply the original function f(x)f of x by -negative1 to cause the reflection. Thus, g(x)=-negative1f(x+0)+0g of x equals negative one times f of the quantity x plus zero plus zero.
Go to question 3.
One or more of your answers are incorrect. Try again. How has the parent function f(x)f of x transformed to form the function g(x)g of x? What operations viewed in the videos cause these transformations?
