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The locus of points idea can be used to define straight lines circles and even more complex shapes as parabolas?
The locus of points refers to the set of all points that satisfy a given condition or equation. For straight lines, the locus can be defined by a linear equation, while circles are defined as the set of points equidistant from a center point. Parabolas, on the other hand, can be described as the locus of points equidistant from a fixed point (the focus) and a fixed line (the directrix). This concept allows for the geometric representation of various shapes based on specific conditions.
A parabola has a vertex at -3 -2 what is its equation?
-1
The vertex of this parabola is at -2 -3 When the y-value is -2 the x-value is -5 What is the coefficient of the squared term in the parabolas equation?
7
Can the locus of points idea be used to define straight lines circles and even more complex shapes such as parabolas?
true for apex
Is it true or false the solution set of an equation of a circle is all of the points that lie on the circle?
True. The solution set of an equation of a circle consists of all the points that lie on the circle itself. This set is defined by the equation ((x - h)^2 + (y - k)^2 = r^2), where ((h, k)) is the center and (r) is the radius. Thus, any point that satisfies this equation lies on the circle.
How do you find the equation for a parabola?
u look at it.... :-) hey I'm learning about parabolas too
The vertex of this parabola is at -3 -1 When the y-value is 0 the x-value is 4 What is the coefficient of the squared term in the parabolas equation?
The vertex of this parabola is at -3 -1 When the y-value is 0 the x-value is 4. The coefficient of the squared term in the parabolas equation is 7
The vertex of the parabola below is at the point -2 1 Which of the equations below could be this parabolas equation?
Go study
What careers use parabolas?
One career that might use a parabola is a mathematics teacher. Geometry teachers might also use parabolas. A parabola is a line consisting of points that are connected and spaced unilaterally.
How can you tell if an equation is a parabola?
Any and all conics, parabolas included, take the form Ax2 + Bxy + Cy2 + Dx + Ey + F = 0, with A, B, and C not all zero. The parabolas themselves have B2 - 4AC = 0.
A parabola has a vertex at -3 -2 what is its equation?
-1
What does a system of equation with no solution look like?
Functions (lines, parabolas, etc.) whose graphs never intersect each other.
The vertex of this parabola is at -2 -3 When the y-value is -2 the x-value is -5 What is the coefficient of the squared term in the parabolas equation?
7
When vertex of this parabola is at (35) . When the y-value is 6 the x-value is -1. what is the coefficient of the squared term in the parabolas equation?
It is 1/16.
What is the equation of the points (31) and has a radius length of 2?
If you mean a circle center at (3, 1) and a radius of 2 then the equation of the circle is (x-3)^2 +(y-1)^2 = 4
What is the equation of the points (-12) and has a radius of length 3?
If you mean a circle center at (3, 1) and a radius of 2 then the equation of the circle is (x-3)^2 +(y-1)^2 = 4
Can the locus of points idea be used to define straight lines circles and even more complex shapes such as parabolas?
true for apex
