What equation represents a parabola that opens UP with the vertex at 2,4

  y = (x -2)^2 +4

Step-by-step explanation:

The vertex form of the equation of a parabola is ...

  y = a(x -h)^2 +k

for vertex (h, k) and vertical scale factor "a". When a > 0, the parabola opens upward.

One equation for your parabola could be ...

  y = (x -2)^2 +4

__

In standard form this one is ...

  y = x^2 -4x +8

d

step-by-step explanation:

given

y + 3 = - 4(x - 2) ← distribute the parenthesis

y + 3 = - 4x + 8 ( subtract 3 from both sides )

y = - 4x + 5 → d

42

step-by-step explanation: