Question

adam graphs ( f(x) = x^2 ) and ( g(x) = 3x^2 ). which of the following is not the same for the graphs of functions ( f ) and ( g )?
a. location of the vertex
b. axis of symmetry
c. ( y )-value when ( x = 5 )
d. direction parabola opens

Explanation:

1. Vertex location: For $f(x)=x^2$, vertex is $(0,0)$. For $g(x)=3x^2$, vertex is also $(0,0)$ (scaling doesn't shift the vertex).
2. Axis of symmetry: Both are vertical parabolas symmetric about the y-axis ($x=0$), so this is the same.
3. y-value at $x=5$: Calculate $f(5)=5^2=25$, $g(5)=3(5)^2=3*25=75$. These values are different.
4. Direction parabola opens: Both have positive leading coefficients, so both open upward.

Answer:

C. y-value when x = 5