Question The equation f(x)=4x−5 is transformed to 42x−5. Identify the value of k. Does the graph show a stretch or a compression?(1 point) Responses
2x; stretch
2; compression
2; stretch
2x; compression
The equation f(x) = 4x - 5 is transformed to 42x - 5.
To find the value of k, we compare the original equation to the transformed equation.
In the original equation, the slope (coefficient of x) is 4.
In the transformed equation, the slope is 42.
Since the slope has been multiplied by k to get from 4 to 42, we can say that k = 42/4 = 10.5.
Therefore, the value of k is 10.5.
To determine if the graph shows a stretch or a compression, we analyze the value of k.
A stretch occurs when k is greater than 1, and a compression occurs when k is between 0 and 1.
Since k is 10.5, which is greater than 1, we can conclude that the graph shows a stretch.