We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
3156
2
avatar+266 

Let g(x) be reflected of f(x)=x^2+5 in the axis. What is the function rule for g(x)?

 Oct 9, 2015

Best Answer 

 #2
avatar+103678 
+5

Let g(x) be reflected of f(x)=x^2+5 in the axis. What is the function rule for g(x)?

 

f(x) is a concave up parabola, the vertex is (0,5) and the axis of symmetry is the x axis   (x=0)

 

If it is reflected in  the y axis it will stay the same so   g(x)=x^2+5

 

If it is reflected in the x axis    (about y=0)   then it will still have the y axis as the axis of symmetry but it will be concave down and the vertex will be (0,-5)

so   g(x)= -x^2 - 5

 Oct 9, 2015
 #1
avatar+103678 
+5

Which axis is it reflected in?

 Oct 9, 2015
 #2
avatar+103678 
+5
Best Answer

Let g(x) be reflected of f(x)=x^2+5 in the axis. What is the function rule for g(x)?

 

f(x) is a concave up parabola, the vertex is (0,5) and the axis of symmetry is the x axis   (x=0)

 

If it is reflected in  the y axis it will stay the same so   g(x)=x^2+5

 

If it is reflected in the x axis    (about y=0)   then it will still have the y axis as the axis of symmetry but it will be concave down and the vertex will be (0,-5)

so   g(x)= -x^2 - 5

Melody Oct 9, 2015

42 Online Users

avatar
avatar
avatar
avatar
avatar
avatar
avatar