How do you find the y intercept, the equation of

Motalli21 2022-01-20 Answered
How do you find the y intercept, the equation of the axis of symmetry and the x-coodinate of the vertex
f(x)=x210x+5?
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Expert Answer

enguinhispi
Answered 2022-01-21 Author has 15 answers
Step 1
y-intercept is 5, Axis of symmetry is x=5, x-coordinate of vertex is 5.
To find the axis of symmetry, and the coordinates of the vertex, this quadratic function need be put in its standard form (parabola):
y=x210x+5
=x210x+2525+5
=(x5)220
y+20=(x5)2
Compare this with the standard form of a vertical parabola yk=(xh)2 with vertex (h, k) and axis of symmetry x=h
The vertex is therefore (5, 20) and axis of symmetry is x=5
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