Question

Please check my work

Answer 1

Three functions are given below: f(x), g(x), and h(x). Explain how to find the axis of symmetry for each function, and rank the functions based on their axis of symmetry (from smallest to largest).
f(x) = 3(x + 4)2 + 1
g(x) = 2x2 − 16x + 15

Answer 2

My work
g(x)=2x^2-16x+15
g(x)=2(x^2-8x)+15
g(x)=2[(x^2-8x+16)-16}+15
g(x)=2(x-4)^2-17=(4,17)
y=3(x-4)^2+1=(4,1)
minimum (1,-3)

x=-b/2a
f(x) = 3(x + 4)^2 + 1
f(x)=3(x^2+8x+16)+1
f(x)=3x^2+24x+49
-24/3*2=-4 and is the axis of symmetry

g(x)-4/2*-16= -4 axis of symmetry
graph axis of symmetry is 1

Answer 3

@freckles

Answer 4

@paki

Answer 5

@MrNood