Answer
Vertex: (0, 7)
Axis of symmetry: x=0
Work Step by Step
Vertex:
First you must find your A, B, and C values of the equation g(x)= x^2+7
The A= 1, B= 0 (because there is no B value), and C=7
To find the x value of the vertex, use the formula x= -B/2a. so..
x= -0/2(1)
x= 0/2
x=0.
Now plug in the x value that we just found into the x of the equation.
g(0)= 0^2+7
g(0)= 0+7
g(0)= 7.
so, the vertex is (0,7)
The axis of symmetry is the same formula we found the x with. x= -B/2a.
x= -0/2(1)
x=0/2
x=2
so the axis of symmetry is x=2
In order to graph the equation we must find at least two more points.
We can plug in any number to the equation to get the other two points. Here I will use 1 and -1 for the x values.
1^2+7= g(x)
1+7= g(x)
8= g(x)
so one point on the graph will be (1, 8)
-1^2+7= g(x)
1+7=g(x)
8 = g(x)
The other point of the graph is (-1,8)
