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Q: What determines whether the graph of the quadratic function will open upward or downward?

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discriminant

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A logical function, such as the IF function.

· whether it is linear, quadratic or exponential · whether it has an upper or lower bound · whether it has a minimum or a maximum value · whether it is constant, decreasing or increasing

Determines whether a given mathematical expression is a function or not.

base

Nature Of The Zeros Of A Quadratic Function The quantity b2_4ac that appears under the radical sign in the quadratic formula is called the discriminant.It is also named because it discriminates between quadratic functions that have real zeros and those that do not have.Evaluating the discriminant will determine whether the quadratic function has real zeros or not. The zeros of the quadratic function f(x)=ax2+bx+c can be expressed in the form S1= -b+square root of D over 2a and S2= -b-square root of D over 2a, where D=b24ac.... hope it helps... :p sorry for the square root! i know it looks like a table or something...

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.

Factorise it!

Trigonometric functions are defined from a numeric domain to a numeric range. So the input number determines whether or not the function is defined for that value and, if so, what the value of the function is.

Whether your foot is on it or not.

Unless the operands form an arithmetic sequence, it is not at all simple. That means the difference between successive points must be the same. If that is the case and the SECOND difference in the results is constant then you have a quadratic.

Whether or not that there is a solution to a quadratic equation,

It is x = +/- 2 depending on whether the second term in the equation is -12x or +12x.

The polarity of the compound determines whether it will be more soluble in hexane or in water.

The presence (or absence) of oxygen determines whether or not yeast will ferment or undergo cellular respiration.

The moon determines if there will be high or low tides.

If it doesn't have an equal sign, then it's an expression, not an equation. The expression 7x2x is quadratic, because it equals 14x², and something is quadratic if it contains the squared exponent ².

Whether or not a function has zeros depends on the domain over which it is defined.For example, the linear equation 2x = 3 has no zeros if the domain is the set of integers (whole numbers) but if you allow rational numbers then x = 1.5 is a zero.A quadratic function such as x^2 = 2 has no rational zeros, but it does have irrational zeros which are sqrt(2) and -sqrt(2).Similarly, a quadratic equation need not have real zeros. It will have zeros if the domain is extended to the complex field.In the coordinate plane, a quadratic without zeros will either be wholly above the horizontal axis or wholly below it.

the naked eye determines if it is visible.

Assuming a nd c refer to the coefficients in y = ax2 + bx + c Then, if a>0 the graph is cup (U) shaped whereas if a<0 the graph is cap shaped. c determines how high or low (above or below) the x-axis sits and, therefore, whether or not the quadratic has real roots.

The quadratic formula is famous mainly because it allows you to find the root of any quadratic polynomial, whether the roots are real or complex. The quadratic formula has widespread applications in different fields of math, as well as physics.

number of electrons