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The vertex of the parabola below is at the point (-4-2) which equation below could be one for parabola?
-2
What is the y-coordinate of the vertex of a parabola with the following equation?
The y coordinate is given below:
The vertex of the parabola below is at the point -3 -5 Which of the equations below could be the equation of this parabola?
2
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
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
How do you write an equation for a parabola in standard form?
To write an equation for a parabola in standard form, use the format ( y = a(x - h)^2 + k ) for a vertical parabola or ( x = a(y - k)^2 + h ) for a horizontal parabola. Here, ((h, k)) represents the vertex of the parabola, and (a) determines the direction and width of the parabola. If (a > 0), the parabola opens upwards (or to the right), while (a < 0) indicates it opens downwards (or to the left). To find the specific values of (h), (k), and (a), you may need to use given points or the vertex of the parabola.
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 standard form of the equation of a parabola that opens up or down?
The standard form of the equation of a parabola that opens up or down is given by ( y = a(x - h)^2 + k ), where ( (h, k) ) is the vertex of the parabola and ( a ) determines the direction and width of the parabola. If ( a > 0 ), the parabola opens upward, while if ( a < 0 ), it opens downward. The vertex form emphasizes the vertex's position and the effect of the coefficient ( a ) on the parabola's shape.
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.
What is the equation in standard form of a parabola that models the values in the table x-2 0 4 f x -7 3 -73?
To find the equation of a parabola in standard form (y = ax^2 + bx + c) that fits the points given in the table (x: -2, 0, 4 and f(x): -7, 3, -73), we can set up a system of equations using these points. Substituting the values into the equation gives us three equations. Solving this system will yield the coefficients (a), (b), and (c). After solving, the standard form of the parabola can be expressed as (y = -5x^2 - 7x + 3).
What set of points whose coordinates satisfy the equation is called?
The set of points whose coordinates satisfy a given equation is called the graph of the equation. For example, in the case of a linear equation, the graph is a line, while for a quadratic equation, it is a parabola. This collection of points visually represents the relationship described by the equation in a coordinate system.
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.
How do you graph a parabola with these points (20)(70)(0-8) and vertex in vertex form?
To graph a parabola given the points (20, 70) and (0, -8) with the vertex in vertex form, first, identify the vertex, which is the midpoint of the x-coordinates of the points if they are symmetric. Assuming the vertex is at the point (h, k), you can use the vertex form of a parabola: (y = a(x - h)^2 + k). Substitute one of the given points into this equation to solve for the value of (a). Finally, plot the vertex and the points, and sketch the parabola opening either upwards or downwards based on the sign of (a).
