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).

Question

anonymous · Answer

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anonymous · Answer

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campbell_st · Answer

f(x) is in vertex form 

$$f(x) = (x - h) ^2 + k$$

the line of symmetry is h

so match this to your equation

campbell_st · Answer

in g(x) 

its in standard form 

$$y = ax^2 + bx + c$$

the line of symmetry is

$$x = \frac{-b}{2 \times a}$$

so match a and b to your equation

campbell_st · Answer

in h(x) what is the x value when the curve reaches it's highest point..? 

that's the line of symmetry