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 5.Incorrect. The answer is
g(x)=1f(x+0)+3g of x equals one times f of the quantity x plus 0 plus 3.
To form the function g(x)g of x, first note how the slopes of f(x)f of x and g(x)g of x are equal. This means that f(x)f of x has not been multiplied by any factor greater than or less than 1. This can also be interpreted as meaning no dilation (stretch) or reduction (shrink) has occurred. The function g(x)g of x has a y-intercept three units higher than that of f(x)f of x. This means that to form g(x)g of x, simply raise f(x)f of x three units. In other words,
g(x)=1f(x+0)+3g of x equals one times f of the quantity x plus 0 plus 3.
Go to question 5.
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?
