Question

State the equation of the function that results from reflecting the graph of y=2x+7 across the horizontal line containing the y-intercept of the function. Describe the transformation required to achieve the change.

Answer 1

Linear equation is given by:

y= mx + c

where m=slope of the straight line and

c= y intercept of the line.

Given equation is

y=2x + 7

where slope i.e. m=2

and y intercept c=7

when c is increased y intercept will increase and will cut at much higher level while when slope i.e. m will increase the angle of straight line will increase with with the x axis. Similarly when slope decreases it will make less angle with the x axis.