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!Incorrect. The answer is
g(x)=1f(x+-negative5)+4g of x equals one times f of the quantity x plus negative five plus four.
The function g(x)g of x is five units to the right of f(x)f of x, so we need g(x)=f(x+-negative5)g of x equals f of the quantity x plus negative 5. The function g(x)g of x is also four units above f(x)f of x. So we also need g(x)=f(x+-negative5)+4g of x equals f of the quantity x plus negative five plus four. The functions are the same size, so no dilation or reduction is necessary.
Therefore, the final function is g(x)=1f(x+-negative5)+4g of x equals one times f of the quantity x plus negative five plus four.
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?
