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What is the equation of the quadratic graph with a focus of (3 6) and a directrix of y 4?
For a parabola with a y=... directrix, it is of the form:
(x - h)^2 = 4p(y - k)
with vertex (h, k), focus (h, k + p) and directrix y = k - p
With a focus of (3, 6) and a directrix of y = 4, this means:
(h, k + p) = (3, 6) → k + p = 6
y = k - p = 4
→ k = 5, p = 1 (solving the simultaneous equations)
→ vertex is (3, 5)
→ parabola is (x - 3)^2 = 4(y - 5)
which can be rearranged into y = 1/4 x^2 - 3/2 x + 29/4
What else can I help you with?
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.
What shape does the quadratic graph make?
The graph of a quadratic equation has the shape of a parabola.
What is the difference between linear and quadratic equations?
A linear equation has the form of mx + b, while a quadratic equation's form is ax2+bx+c. Also, a linear equation's graph forms a line, while a quadratic equation's graph forms a parabola.
What is the definition of parabola?
There are several ways of defining a parabola. Here are some:Given a straight line and a point not on that line, a parabola is the locus of all points that are equidistant from that point (the focus) and the line (directrix).A parabola is the intersection of the surface of a right circular cone and a plane parallel to a generating line of that surface.A parabola is the graph of a quadratic equation.
What do all graphs of quadratic functions have in common?
The graph of a quadratic equation is a parabola.
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.
What is the graph for quadratic equation?
the graph for a quadratic equation ct5r
What is a parabola the graph of?
It is the graph of a quadratic equation of the formy = ax^2 + bx + c
What shape does the quadratic graph make?
The graph of a quadratic equation has the shape of a parabola.
What is the graph called of a quardic equation?
The graph of a quadratic equation is a parabola
What is a quadratic equation when graphed?
The graph (on Cartesian coordinates) of a quadratic equation is a parabola.
Can a graph be drawn for every quadratic equation?
Yes.
What do you call the graph of quadratic equation?
It is in the shape of a parabola
What is the shape of the graph of a quadratic equation called?
A parabola.
What is the difference between linear and quadratic equations?
A linear equation has the form of mx + b, while a quadratic equation's form is ax2+bx+c. Also, a linear equation's graph forms a line, while a quadratic equation's graph forms a parabola.
Always use the vertex and at least points to graph each quadratic equation?
You should always use the vertex and at least two points to graph each quadratic equation. A good choice for two points are the intercepts of the quadratic equation.
What is the definition of parabola?
There are several ways of defining a parabola. Here are some:Given a straight line and a point not on that line, a parabola is the locus of all points that are equidistant from that point (the focus) and the line (directrix).A parabola is the intersection of the surface of a right circular cone and a plane parallel to a generating line of that surface.A parabola is the graph of a quadratic equation.
