Describe how the graph of f(x)=|x| can be transformed to the graph of g(x)=−14|x−1|+1. A. g(x) is reflected and vertically compressed, the graph shifts to the right 1 unit and then up 1 unit.
B. g(x) is reflected and vertically stretched, the graph shifts to the right 1 unit and then down 1 unit.
C. g(x) is reflected and vertically stretched, the graph shifts left 1 unit and then up 1 unit.
D. g(x) is reflected and vertically compressed, the graph shifts left 1 unit and then down 1 unit.

Use addition and subtraction to simplify the following polynomials. a. add polynomials: (3 – 4x + 8x^2) + (–6 + 2x – 5x^2) step 1: rewrite the polynomials without the parentheses. step 2: write the polynomial in descending order and use parentheses around like terms. step 3: add the like terms identified in step 2 to simplify the polynomial. b. subtract polynomials: (3x – 5 – 7x^2) – (–2 + 6x^2 – 5x) step 1: rewrite the polynomials without the parentheses. remember to multiply each term in the second parentheses by –1. show your work. step 2: write the polynomial in descending order and use parentheses around like terms. step 3: add the like terms identified in step 2 to simplify the polynomial.

The base of a triangle exceeds the height by 7 centimeters. if the area is 400 square centimeters, find the length of the base and the height of the triangle.

Nick has box brads. he uses 4 brads for the first project. nick let’s b represent the original number of brads and finds that for the second project, the number of brads he uses is 8 more than half the difference of b and 4. write an expression to represent the number of brads he uses for the second project.