SOLUTION: Graph the function and state the vertex, the axis of symmetry, the intercepts if any.
F(x)=x²-4x+3
What is the vertex?
What is the axis of symmetry?
What are the intercepts i
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-> SOLUTION: Graph the function and state the vertex, the axis of symmetry, the intercepts if any.
F(x)=x²-4x+3
What is the vertex?
What is the axis of symmetry?
What are the intercepts i
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Question 667358: Graph the function and state the vertex, the axis of symmetry, the intercepts if any.
F(x)=x²-4x+3
What is the vertex?
What is the axis of symmetry?
What are the intercepts if any?
You can put this solution on YOUR website! Graph the function and state the vertex, the axis of symmetry, the intercepts if any.
F(x)=x²-4x+3
What is the vertex?
What is the axis of symmetry?
What are the intercepts if any?
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F(x)=x²-4x+3
complete the square:
y=(x^2-4x+4)+3-4
y=(x-2)^2-1
This is an equation of a parabola that opens upwards.
Its standard form: y=A(x-h)^2+k, (h,k) =(x,y) coordinates of the vertex, A is a coefficient that affects the width of the curve.
..
For given parabola:y=(x-2)^2-1
vertex: (2,-1)
A=1
Axis of symmetry: x=2
x-intercepts
set y=0
(x-2)^2-1=0
(x-2)^2=1
x-2=±1
x=2±1
x=3 and 1
see graph below: