Tairkeisha Dunson
Mr. Cather
6 November 2014 03.05 Module Three Quiz Assessment
1. four different quadratic functions:
· The function f(x) is a difference of squares: * f(x) = (x+3)^2 – (2)^2) *Factored as: f(x) = (x+3+2)(x+3-2) *(x+5)(x+1) *f(x) = (x+1)(x+5) * f(x)=x^2 + 6x + 5 · The function g(x) is a sum of squares: *g(x) = (x-1)2 + 32 *g(x)= x2– 2x + 1 + 9 * x2 – 2x + 10 *g(x) = x^2 – 2+10 *g(x) cannot be factored with real numbers because the discriminant is negative and therefore the function has complex roots.
· The function h(x) is a perfect square trinomial: *A perfect square trinomial is created by taking x with the power: -Adding or subtracting it to a number or letter, -Squaring the whole quantity -Expanding the quantity
· h(x) = (x+3)² = x² + 6x +9
· The function j(x) can only have a GCF factored out of it: * Must have an x in it * any power *Only coefficients of the x's can be factored out *One number only term that also factors with the coefficients.
· j(x) = 3x^2 + 6x – 15
· The GCF is 3 which can be factored out: j(x) = 3(x^2 + 2x – 5)
· The discriminant of x^2 + 2x – 5 is 24 which is not a perfect square and therefore the function does not have rational roots which implies j(x) is not factorable. 2. k(x + c):
· Shifts the graph horizontally.
· If c > 0 , the graph shifts to the left.
· If c < 0 , the graph shifts to the right.
· If c = 0 , graph remains unchanged.

· k(x) + c:
· Shifts the graph vertically.
· If c > 0 , the graph shifts upwards.
· If c < 0 , the graph shifts downwards.