Question

which statement is true regarding the graphed functions?

• ( f(0) = 2 ) and ( g(-2) = 0 )
• ( f(0) = 4 ) and ( g(-2) = 4 )
• ( f(2) = 0 ) and ( g(-2) = 0 )
• ( f(-2) = 0 ) and ( g(-2) = 0 )

Explanation:

1. Check \(f(0)\): Find \(x=0\) on the x-axis, move up to \(f(x)\) (blue parabola). The point is \((0,4)\), so \(f(0)=4\).
2. Check \(g(-2)\): Find \(x=-2\) on the x-axis, move up to \(g(x)\) (red parabola). The point is \((-2,4)\), so \(g(-2)=4\).
3. Verify other options:

• \(f(0)=2\) is false, so first option is wrong.
• \(f(2)=0\) is true, but \(g(-2)=0\) is false, so third option is wrong.
• \(f(-2)=0\) is false, so fourth option is wrong.

Answer:

B. \(f(0) = 4\) and \(g(-2) = 4\)