Answer:
<em>he rank from least to great based on their axis of symmetry: </em>
0, 1, -3 ⇒ g(x), h(x), f(x)
So, <em>option C</em> is correct.
Step-by-step explanation:
A quadratic equation is given by:
Here, a, b and c are termed as coefficients and x being the variable.
<em>Axis of symmetry can be obtained using the formula</em>
![x = \frac{-b}{2a}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-b%7D%7B2a%7D)
Identification of a, b and c in f(x), g(x) and h(x) can be obtained as follows:
![f(x) = x^2 + 6x - 1](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E2%20%2B%206x%20-%201)
⇒ a = 1, b = 6 and c = -1
![g(x) = -x^2 + 2](https://tex.z-dn.net/?f=g%28x%29%20%3D%20-x%5E2%20%2B%202)
⇒ a = -1, b = 0 and c = 2
![h(x) = 2^2 - 4x + 3](https://tex.z-dn.net/?f=h%28x%29%20%3D%202%5E2%20-%204x%20%2B%203)
⇒ a = 2, b = -4 and c = 3
So, axis of symmetry in
will be:
![x = \frac{-b}{2a}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-b%7D%7B2a%7D)
x = -6/2(1) = -3
and axis of symmetry in
will be:
![x = \frac{-b}{2a}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-b%7D%7B2a%7D)
x = -(0)/2(-1) = 0
and axis of symmetry in
will be:
![x = \frac{-b}{2a}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-b%7D%7B2a%7D)
x = -(-4)/2(2) = 1
<em>So, the rank from least to great based on their axis of symmetry: </em>
0, 1, -3 ⇒ g(x), h(x), f(x)
So, <em>option C</em> is correct.
<em>Keywords: axis of symmetry, functions</em>
<em>Learn more about axis of symmetry from brainly.com/question/11800108</em>
<em>#learnwithBrainly</em>