Answer:
The equation of the function in vertex form is represented by [tex]y = -2\cdot (x-6)^{2}+2[/tex].
Step-by-step explanation:
Let [tex](h,k) = (6,2)[/tex] and [tex](x,y) = (0, - 70)[/tex], now we substitute on the equation of the quadratic function and solve for [tex]a[/tex]:
[tex]y = a\cdot (x-h)^{2}+k[/tex]
[tex]-70 = a\cdot (0-6)^{2}+2[/tex]
[tex]-70 = 36\cdot a + 2[/tex]
[tex]36\cdot a = -72[/tex]
[tex]a = -2[/tex]
Therefore, the equation of the function in vertex form is represented by [tex]y = -2\cdot (x-6)^{2}+2[/tex].
