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What happens to the graph when your B term gets bigger in quadratic function?
Assuming that the B term is the linear term, then as B increases, the graph with a positive coefficient for the squared term shifts down and to the left. This means that a graph with no real roots acquires real roots and then the smaller root approaches -B while the larger root approaches 0 so that the distance between the roots also approaches B. The minimum value decreases.
How to tell if there are no real roots?
The real roots of what, exactly? If you mean a square trinomial, then: If the discriminant is positive, the polynomial has two real roots. If the discriminant is zero, the polynomial has one (double) real root. If the discriminant is negative, the polynomial has two complex roots (and of course no real roots). The discriminant is the term under the square root in the quadratic equation, in other words, b2 - 4ac.
How is the constant term of a quadratic function related to the y-intercept of its graph?
It is the y-coordinate of the intercept (the x-coordinate being 0).
Is an equation considered a standard form of quadratic equation if the first term or the quadratic term is on the second side?
No, it is not.
The quadratic term in 6x2 - 4x plus 25 is 6x2?
the equation 6x^2 - 4x + 25 is a quadratic equation due to the 6x^2 term. Whatever number on the x squared term changes it to a quadratic equation if you were to get rid of the 6x^2 then the equation would simply be -4x+25 making it simply a linear equation. when ever you have an x raised to 2 that term is the quadratic term in the equation.
What happens to the graph when your B term gets bigger in quadratic function?
Assuming that the B term is the linear term, then as B increases, the graph with a positive coefficient for the squared term shifts down and to the left. This means that a graph with no real roots acquires real roots and then the smaller root approaches -B while the larger root approaches 0 so that the distance between the roots also approaches B. The minimum value decreases.
How to tell if there are no real roots?
The real roots of what, exactly? If you mean a square trinomial, then: If the discriminant is positive, the polynomial has two real roots. If the discriminant is zero, the polynomial has one (double) real root. If the discriminant is negative, the polynomial has two complex roots (and of course no real roots). The discriminant is the term under the square root in the quadratic equation, in other words, b2 - 4ac.
How is the constant term of a quadratic function related to the y-intercept of its graph?
It is the y-coordinate of the intercept (the x-coordinate being 0).
Could you have a quadratic function with one real root and one complex root Think about what the graph of that function might look like. What might the function itself look like?
Yes; to have a quadratic function with two given roots, just decide what roots you want to have - call them "a" and "b" - and write your function as:y = (x - a) (x - b) You can multiply this out if you wish, to make it look like a standard quadratic function. Note that "a" and "b" can be any complex numbers. Graphing such a function is quite complicated; to graph both the x-value and the y-value, each of which is itself a complex (i.e., two-dimensional) number, you really need four dimensions.
What are quadratic equations?
In mathematics, a quadratic equation is a polynomial equation of the second degree. The general form is : where a≠ 0. (For if a = 0, the equation becomes a linear equation.) The letters a, b, and c are called coefficients: the quadratic coefficient a is the coefficient of x2, the linear coefficient b is the coefficient of x, and c is the constant coefficient, also called the free term or constant term. Quadratic equations are called quadratic because quadratus is Latin for "square"; in the leading term the variable is squared. A quadratic equation with real or complex coefficients has two (not necessarily distinct) solutions, called roots, which may or may not be real, given by the quadratic formula: : where the symbol "±" indicates that both : and are solutions.
Is an equation considered a standard form of quadratic equation if the first term or the quadratic term is on the second side?
No, it is not.
What do you call the first second and third terms in a quadratic equation?
1st = The quadratic term. 2nd = The linear term. 3rd = The constant term.
Why a quadratic equation is called quadratic?
Quadratic equations are called quadratic because quadratus is Latin for "square"; in the leading term the variable is squared.
What does the term government function mean?
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What is the equation for the axis of symmetry of the quadratic function f(x) 3x2 12x - 2?
It is x = +/- 2 depending on whether the second term in the equation is -12x or +12x.
What is difference between monic quadratic trinomials and general quadratic trinomials?
the difference between the two is that in quadratic u find the factors of the last term that when u add/subtract u get the answer of the middle term. while the general quadratic trinomial u find the factors of both first term and last term and proceed to trial and error. Welcome -Delin-shaw Guillermo
The quadratic term in 6x2 - 4x plus 25 is 6x2?
the equation 6x^2 - 4x + 25 is a quadratic equation due to the 6x^2 term. Whatever number on the x squared term changes it to a quadratic equation if you were to get rid of the 6x^2 then the equation would simply be -4x+25 making it simply a linear equation. when ever you have an x raised to 2 that term is the quadratic term in the equation.
