what is the axis of symmetry for the graph of y - 4x = 7 - x²?\n○ x = 2\n○ y = 2\n○ x = 11\n○ y = 11

Explanation:

Step1: Rewrite the equation in standard form

For a quadratic function $y = ax^{2}+bx + c$, rewrite $y-4x=7 - x^{2}$ as $y=-x^{2}+4x + 7$. Here $a=-1$, $b = 4$, $c = 7$.

Step2: Use the formula for axis - of - symmetry

The formula for the axis of symmetry of a quadratic function $y = ax^{2}+bx + c$ is $x=-\frac{b}{2a}$. Substitute $a=-1$ and $b = 4$ into the formula: $x=-\frac{4}{2\times(-1)}$.

Step3: Calculate the value of $x$

$x =-\frac{4}{-2}=2$.

Answer:

$x = 2$