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Q: What can you tell about a quadratic function in standard form before you even graph it or even find the the axis of symmetry?
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What must be true about a quadratic equation before solve it?

That depends how you plan to solve it - there are several methods. But usually you would start by arranging the equation in "standard form", meaning that on the right of the equal sign, you only have zero.


What statements must be true of an equation before you can use the quadratic formula to find the solutions?

That the discriminant of the quadratic equation must be greater or equal to zero for it to have solutions. If the discriminant is less than zero then the quadratic equation will have no solutions.


How the quadratic equation is applied in real situation?

Vertices in quadratic equations can be used to determine the highest price to sell a product before losing money again.


Which animal adaptation happened before the others?

bilateral symmetryTissue developmentDevelopment of a coelom


If the right-hand side of a quadratic equation does not equal zero you need to the number or expression on the righthand side from both sides before you can use the quadratic formula?

subtract


How do you factor a2 10a-21?

The expression is faulty because we don't have + or - before 10a. Also have to assume a2 is a2 . Use the standard formula for solving a quadratic = 0, to get two answers p and q. Then the factorization is (a-p)(a-q).


How do you make a graph of a quadratic function that has x-intercepts at 0 and 4?

That's not enough information to draw the graph. All you know is that it crosses the x-axis at those 2 points. You don't know whether it opens upward or downward, or how far the nose is above or below the x-axis. You need more information about the function before you can graph it. This is just another way of saying that there are an infinite number of different quadratic functions that all have those same x-intercepts.


What are the conditons that are met before you can use the quadratic formula?

Only that the equation that you are trying to solve is a quadratic, that is to say, the powers of the variable are 2,1 and 0 (or any constant increment of these three numbers). Non-negativity of the discriminant is NOT a condition because you can still use the quadratic formula and get roots that are in the complex domain.


What statement must be true of an equation before you can use the quadratic formula to find the solutions?

The quadratic formula can be used to find the solutions of a quadratic equation - not a linear or cubic, or non-polynomial equation. The quadratic formula will always provide the solutions to a quadratic equation - whether the solutions are rational, real or complex numbers.


What is a rotational line of symmetry?

It is the axis of symmetry which is a line such that a object that is rotated at right angles to it becomes congruent to its original state before the angle of rotation reaches 360 degrees.


How is rudimentary used in a sentence?

You must understand rudimentary math before you tackle quadratic equations. (rudimentary = basic)


What must be true of an equation before you can use the quadratic formula to find the solutions?

the formula you are going to use to answer the equation