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Q: What could be the equation of the parabola centered at the vertex?
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What does calculate the vertex mean in math terms?

Most likely you have an equation of a parabola. The vertex of a parabola is the location where it changes from going down, to going up (a simplified explanation). Most parabolas that we think of are oriented up or down (the axis is parallel to the y axis), but they could be oriented sideways, or even at an angle. To calculate the vertex of a parabola ususally means to find the coordinates of the vertex.


What is the y coordinate of the vertex of the parabola of X negative 3 point 5y plus 3 power of 2 plus 5?

x - 3.5y + 32 + 5 is an expression, not an equation. Furthermore, even if it were an equation, it has no quadratic term so it could not refer to a parabola. Please check you information and re-enter the question correctly.


What could be the equation of a parabola with its vertex at -5 4?

There are infinitely many equations; 4 possibilities are: y = x² - 21 y = 29 - x² x = y² - 21 x = 11 - y² Given the focus as well would give an exact equation.


How many complex number solutions can exist for a quadratic equation?

Quadratic equations always have 2 solutions. The solutions may be 2 real numbers (think of a parabola crossing the x axis at 2 different points) or it could have a "double root" real solution (think of a parabola just touching the x-axis at its vertex), or it can have complex roots (which will be complex conjugates of each other). For the last scenario, the graph of the parabola will not touch the x axis.


What is an application for a quadratic equation in real life?

A quadratic equation could be used to find the optimal ingredients for a mixture. Example: if you are trying to create a super cleanser, you could make a parabola of your ingredients, finding the roots of the equation to find the optimal amount for each ingredient.