y = ax2 + c is a parabola, c is the y intercept of the parabola. It also happens to be the max/min of the function depending if a is positive or negative.
It is in the shape of a parabola
A parabola. An arch opening either north or south of the x-axis depending on the sign of the coefficient (negative opens down, positive opens up).
A cubic.
shape
Cartestian plane
The graph of a quadratic equation has the shape of a parabola.
A parabola.
It is in the shape of a parabola
The graph of a quadratic equation is a parabola.
A parabola. An arch opening either north or south of the x-axis depending on the sign of the coefficient (negative opens down, positive opens up).
The graph of a quadratic function is always a parabola. If you put the equation (or function) into vertex form, you can read off the coordinates of the vertex, and you know the shape and orientation (up/down) of the parabola.
A parabola
A cubic.
The St. Louis Arch is in the shape of a hyperbolic cosine function It is often thought that it is in the shape of a parabola, which would have a quadratic function of y = a(x-h)^2 + k, where the vertex is h, k.
shape
shape
If you want to graph the function, it is quite easy: y=a(x-h)2-k . . . you can plot the vertex (h,k); the 'a' tells you how wide or narrow the u-shape is, and whether it opens up or down.