+0

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

0
3572
2

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

#2
+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
+5

Which axis is it reflected in?

Oct 9, 2015
#2
+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

Melody Oct 9, 2015