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Yes, a parabola can represent the graph of a function, specifically a quadratic function of the form ( y = ax^2 + bx + c ). However, not all parabolic shapes qualify as a function; for instance, if a parabola opens sideways (like ( x = ay^2 + by + c )), it fails the vertical line test, which states that a function must have only one output for each input. Thus, while upward or downward-opening parabolas are indeed functions, sideways-opening parabolas are not.
What else can I help you with?
A function wahose graph is parabola?
Any equation where variable a = some multiple of variable b2 + constant will graph a parabola.
What is the name of the graph of a quadratic function?
The parabola
Is y equals x2 a function?
Y=X^2 is a function for it forms a parabola on a graph.
Is a graph of a quadratic function always a parabola?
No. It can also be a circle, ellipse or hyperbola.
What is the graph of a function if the discrimanent is zero?
When the discriminant of a quadratic function is zero, the graph of the function is a parabola that touches the x-axis at a single point, known as a double root. This means that the function has exactly one real solution, and the vertex of the parabola is located on the x-axis. In this case, the parabola opens either upwards or downwards but does not cross the x-axis.
What do you call the graph of a quadratic function?
the graph of a quadratic function is a parabola. hope this helps xP
A function wahose graph is parabola?
Any equation where variable a = some multiple of variable b2 + constant will graph a parabola.
What is the name of the graph of a quadratic function?
The parabola
How do you do a parabola?
A parabola is a graph of a 2nd degree polynomial function. Two graph a parabola, you must factor the polynomial equation and solve for the roots and the vertex. If factoring doesn't work, use the quadratic equation.
Is y equals x2 a function?
Y=X^2 is a function for it forms a parabola on a graph.
Is a parabola a function?
Y = X2 ===== The graph of this parabola is crossed only at a point and once by a vertical line, so it is a function. Passes the vertical line test.
Is a graph of a quadratic function always a parabola?
No. It can also be a circle, ellipse or hyperbola.
What is the graph of a function if the discrimanent is zero?
When the discriminant of a quadratic function is zero, the graph of the function is a parabola that touches the x-axis at a single point, known as a double root. This means that the function has exactly one real solution, and the vertex of the parabola is located on the x-axis. In this case, the parabola opens either upwards or downwards but does not cross the x-axis.
The graph of a cubic is called a parabola?
No. Parabola and the cubic graph are definitely two different things.
What is graph of the function y equals X2?
It looks like a parabola which looks like a U shape.
What do you notice the shape of the graph x of the quadratic function yax2?
The shape of the graph of the quadratic function ( y = ax^2 ) is a parabola. If the coefficient ( a ) is positive, the parabola opens upwards, while if ( a ) is negative, it opens downwards. The vertex of the parabola is its highest or lowest point, depending on the direction it opens. The axis of symmetry is the vertical line that passes through the vertex, dividing the parabola into two mirror-image halves.
What is the general shape of a graph of a quadratic function in the form yax2 c?
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.
