(1-7) write each function in vertex form (8-10) write each funtion in standard form?

1) Y=x^2+3x-10
2) Y=x^2-9x
3) Y=X^2+x
4) Y=x^2+5x+4
5) Y=4x^2+8x-3
6) Y=(3/4)x^2+9x
7) Y=-2x^2+2x+1
8) Y=(x-3)^2+1
9) Y=2(x-1)^2-3
10)Y=-3(x+4)^2+1

2 answers

1. Y = x^2+3x-10.

Y = a(x-h)^2 + k.

h = Xv = -b/2a = -3/2.
k = (-3/2)^2 + 3(-3/2) - 10 = -49/4.
V(h,k).
V(-3/2,-49/4).

Y = 1(X+3/2)^2 - 49/4.

2. Y = x^2 - 9x.

Y = a(X-h)^2 + k.

h = Xv = -b/2a = 9/2.
k = (9/2)^2- 9(9/2) = -81/4.
V(h,k) = (9/2,-81/4).

Y = 1(X-9/2)^2 - 81/4.

8. Y = (x-3)^2 + 1.
Y = x^2 _ 6x + 9 + 1.

Y = X^2 - 6x + 10.

The remaining problems are similar to
those I've solved.
five less than a number is at least-28