If you apply these changes to the linear parent function, f(x)=x, what is the equation of the new function? Vertically compress by a factor of 4. Reflect over the x-axis . A. G(x) = 4 - x B. G(x) = - 1/4 * x C. G(x) = 1/4 * x D. G(x) = - 4x

Given:

The linear parent function, f(x)=x is vertically compressed by a factor of 4 and reflected over the x-axis.

To find:

The new function.

Solution:

The vertical stretch and compression is defined as

If k>1, then f(x) vertically stretched by factor k and if 0<k<1, then f(x) vertically compresses by factor .

In the given problem, linear parent function, f(x)=x is vertically compressed by a factor of 4. So,

Then, it is reflected over the x-axis.

So, the new function is .

Therefore, the correct option is B.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: