ANSWER
if a > 0, the direction of the parabola open up
option C
EXPLANATION
Given that;
[tex]y\text{ -x}^2\text{ }+\text{ 2x = 2}[/tex]
Recall, that the standard form of parabola equation is written below as
[tex]\text{ y }=\text{ a\lparen x - h\rparen}^2\text{ }+\text{ k}^2[/tex]
Where (h, k) are the vertex of the equation
Re-write the given equation into the general form of a parabola equation
[tex]\begin{gathered} y\text{ - x}^2\text{ }+\text{ 2x }=\text{ 2} \\ y\text{ }=\text{ 2 - 2x }+\text{ x}^2 \\ y\text{ }=\text{ x}^2\text{ - 2x }+\text{ 2} \\ \text{ y }=\text{ \lparen x - 1\rparen}^2\text{ }+\text{ 1} \end{gathered}[/tex]
[tex]\text{ y = \lparen x - 1\rparen}^2\text{ }+\text{ 1}[/tex]
Hence a is 1
Since a = 1, therefore a > 0
So, the correct answer is, if a > 0, the direction of the parabola open up
option C
