Given is the quadratic function y = f(x) = (x - 4)² + 3 . a) The vertex of the parabola is V( , )

b) Find g(x) after f(x) is reflected over the x-axis.

g(x) =

Use ^2 for squared. Example: write x^2 for x²

LEAVE A BLANK BEFORE AND AFTER EACH PLUS OR MINUS SIGN!

Example: - (x - a)^2 + b

c) Find h(x) after g(x) is translated 3 units to the right.

h(x) =

Use ^2 for squared. Example: write x^2 for x²

LEAVE A BLANK BEFORE AND AFTER EACH PLUS OR MINUS SIGN!

Example: - (x - a)^2 + b

d) Find k(x) after g(x) is translated 4 units up.

k(x) =

Use ^2 for squared. Example: write x^2 for x²

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.

Quadrilateral wxyz is on a coordinate plane. segment yz is on the line x+y=7 and segment xw is on the line x+y=3. which statement proves how segments yz and xw are related

Segment xy is dilated through point m with a scale factor of 2. which segment shows the correct result of the dilation