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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).
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.
A cubic.
shape
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.
Changing the constant in a function will shift the graph vertically but will not change the shape of the graph. For example, in a linear function, changing the constant term will only move the line up or down. In a quadratic function, changing the constant term will shift the parabola up or down.
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
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.
A cubic.
A quadratic function is a function that can be expressed in the form f(x) = ax^2 + bx + c, where a, b, and c are constants and a is not equal to 0. This function represents a parabolic shape when graphed.
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.