help

[ibanez1608]

what is the vertex(i dont know if its the right word) of the equation
f(x)=-2(x+0.5)^2+12.5
my answer is -0.5 is it the right answer?

 

[mathmari]

Yes, at x=-0,5 the equation has the maximum point .

 

[mmm4444bot]

what is the vertex (i dont know if its the right word) of the equation


f(x)=-2(x+0.5)^2+12.5


my answer is -0.5 is it the right answer?

Your answer tells us the x-coordinate of the vertex. In other words, your answer tells us where the maximum value of f(x) occurs, not the maximum value itself.


Function f is defined by a quadratic polynomial, so its behavior looks like a parabola (opening downwards, because the leading coefficient is negative).


The vertex is the highest point, on the parabola. All points have both an x- and y-coordinate.


Function f has a maximum value. The maximum value is the y-coordinate of the vertex.


Maybe you are supposed to report the (x,y) coordinates of the vertex.


Maybe you are supposed to report the maximum value of f(x).


I'm not sure, but can you calculate the value of y=f(-0.5) ?


You may need it.