Answer:
Step-by-step explanation:
So to find the axis of symmetry, there are two ways, and I will walk you through both.
1. Axis of Symmetry formula
So first, break down the equation and list down a, b, and c, which in this case is 1, -3, and 8. Then, use the Axis of Symmetry formula, which is x=-b/2a.
x=-b/2a
x=-(-3)/2(1)
x=3/2
So, the axis of symmetry is x=3/2.
2. Vertex form
This method requires knowledge of factoring, and understanding completing the square. So, subtract 8 on both sides to get y-8=x^2-3x.
y-8=x^2-3x
Factor out one.
y-8=1(x^2-3x)
Create a Perfect square trinomial
y-8+1(?)=1(x^2-3x+2.25)
Multiply 1 by 2.25 to complete the square
y-8+2.25=(x-1.5)^2
y-5.75=(x-1.5)^2
y=(x-1.5)^2+5.75
Substitute 1.5, because that will find the x value for the vertex, which is the axis of symmetry.
So, the axis of symmetry is 1.5, or 3/2.
Hope that helps!
