Question

The linear function f(x)=x is graphed on a coordinate plane. The graph of anew line is formed by changing the slope of the original line to 5 and the y-intercept to. Describe the transformation between these two graphs and write the equation.So I think the new equation is g(x)=5f(x)+2, but I’m not sure if it’s in the right format. I know the first transformation is vertically stretched by 5, but the 2 is either translated up or left.

Answer 1

The green graph is from f(x)=x, and we are asked to change the slope of the original line to 5 and the y-intercept to 2, so in the equation we multiply the x by 5 and add 2, you answer was correct, the two in the equation represent a translation in the y-axis, to translate in the x-axis we need to sum or substract from the x directly, for example if it was a translation in the x-axis the formula would be:

`y=5(x+2)`

Since it is in the y axis the correct answer is:

`y=5x+2`