0
How do you find the equation of a parabola in standard form given 3 points?
Wiki User
∙ 10y ago
I suggest that the simplest way is as follows:
- Assume the equation is of the form y = ax2 + bx + c.
- Substitute the coordinates of the three points to obtain three equations in a, b and c.
- Solve these three equations to find the values of a, b and c.
Wiki User
∙ 10y ago
Add your answer:
Earn +20 pts
What is the y-coordinate of the vertex of a parabola with the following equation?
The y coordinate is given below:
How do you write a standard form linear equation given two points?
The standard form of a linear equation is y = mx + bwhere m is the slop of the line, and b is the y intercept.If you have two points (x1,y1) and (x2,y2), you can get the slope with the following formula:m = (y2-y1)/(x2-x1)if you plug this number in to the equation you can then plug in any (x,y) point on the line to solve for b.
Using the given equations of parabolas find the focus the directrix and the equation of the axis of symmetry of x2 -8y?
10
What points are on the line given by the equation y 2x - 3?
-1
What name is given to the shape of a quadratic function?
A parabola
Given the standard equation for a parabola opening left or right which way does a parabola open when the coefficient of the y2-term a is positive?
right
Given the standard equation for a parabola opening up or down which way does a parabola open when the coefficient of the x2term a is negative Up or down?
down
Given the standard equation for a parabola opening left or right which way does a parabola open when the coefficient of the y2-term a is positive Left or right?
left
Given the standard equation for a parabola opening up or down which way does a parabola open when the coefficient of the x2 term a is positiveUp or down?
In that case it opens upwards.
What is the equation of the directrix of the parabola?
The answer depends on the form in which the equation of the parabola is given. For y^2 = 4ax the directrix is x = -2a.
How do you find the y intercept when given a parabola in standard form?
At any point on the y-axis, the x-coordinate is zero. In the equation of the parabola, set x=0. Tidy it up, and you have " Y = the y-intercept ".
The equation y -3x2 describes a parabola. Which way does the parabola open?
The given terms can't be an equation without an equality sign but a negative parabola opens down wards whereas a positive parabola opens up wards.
The number of normals to the parabola from a point which lies outside?
We can draw 3 normals to a parabola from a given point as the equation of normal in parametric form is a cubic equation.
How do the characteristics and equations of a circle differ from those of a parabola?
In its standard form, the equation of a circle is a quadratic in both variables, x and y, whereas a parabola is quadratic in one (x) and liner in the other (y). A circle is a closed shape and comprises the locus of all points that are equidistant from one given point (the centre). A parabola is an open shape and comprises the locus of all points that are the same distance from a a straight line (the directrix) and a point not on that line (the focus).
What is the y-coordinate of the vertex of the parabola that is given by the equation below?
We will be able to identify the answer if we have the equation. We can only check on the coordinates from the given vertex.
What is the parabola y equals -x2-3x plus 2?
It is the parabola such that the coordinates of each point on it satisfies the given equation.
A parabola is defined as all points equidistant from a given directrix and focus.?
true
