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

Paypay 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

#2**+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