Chapter 7.7, Problem 63STP

To determine

To find: the correct statement which best describe the effect of moving the graph down two units.

Answer to Problem 63STP

  $y$ intercept decreases and option $B$ is correct.

Explanation of Solution

Given:

  $y=2.34x+11.33$ .

Concept used:

A function $f\left(x\right)$ a new function $g\left(x\right)=f\left(x\right)+k$ where $k$ is a constant, is a vertical shifty of the function $f\left(x\right)$ .all the output values change by $k$ units. If $k$ is positive, the graph will shift up. If the $k$ is negative, the graph will shift down.

Calculation:

The function is given by $y=2.34x+11.33$ .

The effect of moving the graph down two units means the point decrease its two unit from the vertical line.

Therefore, the $g\left(x\right)=f\left(x\right)-2$ .

The function will decrease its $y$ intercept by the unit of $2$ .

If the original function has $y$ intercept of $5$ and effect of moving the graph down two units will make the $y$ intercept of $3$ .

Hence, the $y$ intercept decreases and option $B$ is correct.