Which of the following does not describe the graph of the parent function of a quadratic equation?

Question

A. The graph has it vertex at the orgin

B. The graph is a parabola that opens upward

C. The graph has the x-axis as its line of symmetry

D. The graph has a minimum

Answer 1

The parent function of a quadratic is x²

Choice A: origin is the vertex. Correct. Try the vertex formula from standard form. (-b/2a) = 0/2*1 = 0. <- This is the x-coordinate. Plug into the formula, and 0^2 = 0. So the vertex = (0,0) = origin.

b and d go together. It the parabola opens upward, then it has a minimum. (the vertex)

x² opens upward, so these are correct.

This leaves D. The parabola opens upward, so the line of symmetry is the Y axis. ( The line of symmetry is the line that goes up from the x-coordinate of the vertex; in this case x = 0, which is also known as the Y axis!

Hope this helps!