Question

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)

Answer 1

(-5, 8)

Hope it helps!!!!!!!!!!!!!

Answer 2

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

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

`y=x^2~~~~~~~~~~~~~~~~~~~~(i)`

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

`y=(x-h)^2+k,`

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

`y-8=(x+5)^2\\\\\Rightarrow y=(x+5)^2+8,`

where (-5, 8) is the vertex.

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