Question

what shape does the graph of a quadratic function form?

a. parabola

b. line

c. circle

d. ellipse

Explanation:

A quadratic function is generally in the form \( y = ax^2 + bx + c \) (where \( a
eq0 \)). The graph of such a function is a parabola. A line is the graph of a linear function (e.g., \( y = mx + b \)), a circle has the equation \( (x - h)^2+(y - k)^2 = r^2 \), and an ellipse has a more complex quadratic - like equation but is not the graph of a simple quadratic function in one variable (the form we typically consider for quadratic functions in high - school mathematics). So the graph of a quadratic function is a parabola.

Answer:

a. Parabola