which function has an axis of symmetry of x = -2?\n○ f(x)=(x - 1)^2+2\n○ f(x)=(x + 1)^2-2\n○ f(x)=(x…

which function has an axis of symmetry of x = -2?\n○ f(x)=(x - 1)^2+2\n○ f(x)=(x + 1)^2-2\n○ f(x)=(x - 2)^2-1\n○ f(x)=(x + 2)^2-1

which function has an axis of symmetry of x = -2?\n○ f(x)=(x - 1)^2+2\n○ f(x)=(x + 1)^2-2\n○ f(x)=(x - 2)^2-1\n○ f(x)=(x + 2)^2-1

Answer

Answer:

D. $f(x)=(x + 2)^2-1$

Explanation:

Step1: Recall vertex - form of quadratic function

The vertex - form of a quadratic function is $y=a(x - h)^2+k$, and its axis of symmetry is $x = h$.

Step2: Analyze each option

For option A: $f(x)=(x - 1)^2+2$, the axis of symmetry is $x = 1$. For option B: $f(x)=(x + 1)^2-2$, the axis of symmetry is $x=-1$. For option C: $f(x)=(x - 2)^2-1$, the axis of symmetry is $x = 2$. For option D: $f(x)=(x + 2)^2-1$, rewrite it as $f(x)=[x-(-2)]^2-1$, the axis of symmetry is $x=-2$.