Question

Determine whether the graph of y=3x^2-5 is symmetric with respect to the origin, the x axis, or the y-axis.

A. not symmetric with respect to the x-axis, not symmetric with respect to the y-axis and not symmetric with respect to the origin.
B. Symmetric with respect to the x-axis only.
C. Symmetric with respect to the y-axis only.
D. Symmetric with respect to the origin only.

Answer 1

the parabola is concave up... so the line of symmetry will be in the from x = c

well to find the line of symmetry in

\[y = ax^2 + bx + c\]

the line of symmetry is

\[x = \frac{-b}{2a}\]

in your question a = 3 and b = 0

hope this helps..