Two functions are given below: f(x) and h(x). State the axis of symmetry for each function and explain how to find it.

f(x) h(x)
f(x) = −2(x − 4)2 + 2 graph of negative 1 times the quantity of x plus 2 squared, plus 2

The axis of symmetry (a.o.s.) can be found in the following ways:

If the vertex is (h, k), then the a.o.s equation is x = h.

If the standard form of , then the a.o.s. equation is .

If the x-intercepts  and  are given, then the a.o.s equation is 

Therefore,

f(x) has a.o.s of x = 4

g(x) has a.o.s of ⇒

h(x) has a.o.s. of  ↔ there are multiple ways to find this

RANKING FUNCTIONS from smallest a.o.s value to greatest: h(x), g(x), f(x)

Step-by-step explanation:

let m = monomial

let t = trinomial

so, m times t = t.

monomial times a trinomial = another trinomial.

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)