Question

PLEASE ANSWER THIS ASAP! I"M IN THE MIDDLE OF A TEST!!!!
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 the graph is h(x)

Answer 1

Given : Three functions are given below: f(x), g(x), and h(x).

To find :  Axis of Symmetry

Solution:

p(x)=a(x-h)²+k

will have symmetry  

an axis of symmetry of x = h

f(x) = 3(x + 4)² + 1

h = - 4

=> axis of symmetry = - 4

g(x) = 2x²− 16x + 15

= 2(x² - 8x  + 16)  - 17

= 2(x - 4)² - 17

=> axis of symmetry =   4

h(x)  =  x  = 1    

f(x)  , h(x) & g(x) functions based on their axis of symmetry (from smallest to largest).

-4  , 1  ,  4  

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