Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of each function.
y=x^2-10x+2

Question

Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of each function.
y=x^2-10x+2

anonymous · Answer

@jim_thompson5910

campbell_st · Answer

for a parabola 

$$y = ax^2 + bx + c$$

the axis of symmetry is found using 

$$x = \frac{-b}{2a}$$

in your question a = 1 and b = -10

substitute them for the line of symmetry. 

the vertex is on the line of symmetry 

so substitute the value of x in the line of symmetry into the original equation to find the vertex

anonymous · Answer

okay thank you

anonymous · Answer

but how would I find the x-value? @campbell_st

anonymous · Answer

*y-value?

jim_thompson5910 · Answer

once you get the x value, plug it into the equation and evaluate to get the y value

anonymous · Answer

Thank you I know I can always count on you :) @jim_thompson5910

jim_thompson5910 · Answer

you're welcome