SOLUTION: The height, y, of a ball tossed into the air can be represented by the equation {{{ y= -x^2+10x+3 }}} , where x is the elapsed time. What is the equation of the axis of symmetry of

Question 715744: The height, y, of a ball tossed into the air can be represented by the equation , where x is the elapsed time. What is the equation of the axis of symmetry of this parabola?
Found 2 solutions by KMST, lwsshak3:
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
It's .
If a parabola has the equation
the equation of its axis of symmetry is
In your case and , so

However, you do not need to remember formulas if you realize that you can transform the equation into

so adding to both sides of
we get

which tells you that is another form of the equation of your parabola,
and this form tells you that the maximum height is 28, reached at time 5.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
The height, y, of a ball tossed into the air can be represented by the equation , where x is the elapsed time. What is the equation of the axis of symmetry of this parabola?
***
Vertex form of equation for a parabola that opens upward: y=A(x-h)^2+k, (h,k)=(x,y) coordinates of the vertex
complete the square
y= -(x^2-10x+25)+25+3
y=-(x-5)^2+28
vertex(5,28)
axis of symmetry: x=5

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