The vertex is at (2,8) and the axis of symmetry is x = 2
What is vertex and axis of symmetry of a curve?
The vertex of a curve is the point where the curve passes its axis of symmetry. While the axis of symmetry is the line that divides the curve into two equal halves.
Analysis:
if y = a[tex]x^{2}[/tex]+bx +c. then the axis of symmetry occurs at [tex]\frac{-b}{2a}[/tex] and the vertex occurs at [tex]\frac{-b}{2a}[/tex] and the value of y at [tex]\frac{-b}{2a}[/tex].
comparing the above with the equation h(x) = -2[tex]x^{2}[/tex]+8x
x coordinate for vertex = [tex]\frac{-8}{2 x -2}[/tex] = 2
y coordinate at x = 2
-2[tex](2)^{2}[/tex] + 8(2) = 8
vertex is at point (2,8)
axis of symmetry is the x coordinate of the vertex which is at x = 2
In conclusion, the axis of symmetry is at x = 2 and vertex at point (2,80 option c
Learn more about vertex and symmetry of a curve: brainly.com/question/21191648
#SPJ2
