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The highest or lowest point on the graph of a quadratic function, known as the vertex, depends on the direction of the parabola. If the parabola opens upwards (the coefficient of the (x^2) term is positive), the vertex represents the lowest point. Conversely, if the parabola opens downwards (the coefficient is negative), the vertex is the highest point. The vertex can be found using the formula (x = -\frac{b}{2a}) to find the (x)-coordinate, where (a) and (b) are the coefficients from the quadratic equation (ax^2 + bx + c).
What else can I help you with?
What is the name of the graph of a quadratic function?
The parabola
How are the real solutions of a quadratic equation related to the graph of the quadratic function?
The real solutions are the points at which the graph of the function crosses the x-axis. If the graph never crosses the x-axis, then the solutions are imaginary.
Is a graph of a quadratic function always a parabola?
No. It can also be a circle, ellipse or hyperbola.
Which way does the graph open when 'a' is positive?
When 'a' is positive in a quadratic function of the form (y = ax^2 + bx + c), the graph opens upwards. This means the vertex of the parabola is the lowest point on the graph, and as you move away from the vertex in either direction, the values of (y) increase.
What is the graph for quadratic equation?
the graph for a quadratic equation ct5r
What do you call the graph of a quadratic function?
the graph of a quadratic function is a parabola. hope this helps xP
How can you use a graph to find zeros of a quadratic function?
The zeros of a quadratic function, if they exist, are the values of the variable at which the graph crosses the horizontal axis.
The graph of a quadratic function?
Yes. And the question is ...
What is the highest or lowest point on a graph called?
The vertex is the highest or lowest point on a graph.
What is the name of the graph of a quadratic function?
The parabola
Is the graph of a quadratic function contains the point 0 0?
Some do and some don't. It's possible but not necessary.
How are the real solutions of a quadratic equation related to the graph of the quadratic function?
The real solutions are the points at which the graph of the function crosses the x-axis. If the graph never crosses the x-axis, then the solutions are imaginary.
Does the graph of every quadratic function have a y-intercept?
Yes.
What makes a function have a graph that is quadratic?
That the function is a quadratic expression.
What changes can be made to a quadratic function to shift the graph horizontally?
A translation.
What does it mean when the graph of a quadratic function crosses the x axis twice?
When the graph of a quadratic crosses the x-axis twice it means that the quadratic has two real roots. If the graph touches the x-axis at one point the quadratic has 1 repeated root. If the graph does not touch nor cross the x-axis, then the quadratic has no real roots, but it does have 2 complex roots.
The graph of a quadratic equation is called a?
The graph of a quadratic equation is called a parabola.The graph of a quadratic equation is called a parabola.The graph of a quadratic equation is called a parabola.The graph of a quadratic equation is called a parabola.
