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 4.Incorrect. The answer is
g(x)=2f(x+0)+0g of x equals two times f of the quantity x plus zero plus zero.
To form the function g(x)g of x, it may help to identify and compare the values for f(x)f of x and g(x)g of x based on selected x values.
x
f(x)
g(x)
-negative4
4
8
-negative3
1
2
-negative2
0
0
-negative1
1
2
0
4
8
The values of g(x)g of x are twice that of f(x)f of x. Therefore,
g(x)=2f(x+0)+0g of x equals two times f of the quantity x plus zero plus zero.
Go to question 4.
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)? What operations viewed in the videos cause these transformations?
