F(x)= -4x

For finding the Vertex of the equation:

y - 12 = -4(x

y - 12 = -4(x

y - 12 = -4{(x

y - 12 = -4{(x + 1)

y - 16 = -4(x + 1)

Vertex = (1,-16)

The standard form:

The standard form of parabola is y - 16 = -4(x + 1)

Axis of symmetry:

Axis of symmetry in this equation is -1.

For x-intercept:

Put y = 0 for x-intercept therefore,

0 - 16 = -4(x + 1)

4 = (x + 1)

Taking square root on both sides:

2 = x + 1

x = -1

^{2}-8x+12For finding the Vertex of the equation:

y - 12 = -4(x

^{2}+2x)y - 12 = -4(x

^{2}+2x+1-1)y - 12 = -4{(x

^{2}+2x+1)-1}y - 12 = -4{(x + 1)

^{2}-1}y - 16 = -4(x + 1)

^{2}Vertex = (1,-16)

The standard form:

The standard form of parabola is y - 16 = -4(x + 1)

^{2}Axis of symmetry:

Axis of symmetry in this equation is -1.

For x-intercept:

Put y = 0 for x-intercept therefore,

0 - 16 = -4(x + 1)

^{2}4 = (x + 1)

^{2}Taking square root on both sides:

2 = x + 1

x = -1