If we transform y = x2 by 5 units to the left and 8 units up, what is the vertex of the resulting parabola?
(-5, 8)
(5, 8)
(-5, -8)
(5, -8)

 The vertex of the resulting parabola is (A) (-5, 8).

Step-by-step explanation:  The given equation of the parabola is

We are to find the vertex of the resulting parabola, if the parabola (i) is transformed by 5 units left and 8 units up.

The VERTEX form of a parabola is given by

where (h, k) is the vertex.

Now, if we shift parabola (i) by 5 units to the right and 8 units up, then the x-coordinate will increase by 5 units and Y-coordinate will decrease by 8 units.

Therefore, after transformation, equation (i) becomes

where (-5, 8) is the vertex.

Thus, the vertex of the resulting parabola is (A) (-5, 8).

where is the gragh

step-by-step explanation: