0
What else can I help you with?
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.
A quadratic function is a function whose rule is a polynomial of degree what?
Oh honey, a quadratic function is a function whose rule is a polynomial of degree 2. It's like the middle child of polynomials - not too simple, not too complex, just right. So next time you see that squared term, you know you're dealing with a quadratic function, sweetie.
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 can a quadratic function have both a maximum and a minimum point?
A quadratic function can only have either a maximum or a minimum point, not both. The shape of the graph, which is a parabola, determines this: if the parabola opens upwards (the coefficient of the (x^2) term is positive), it has a minimum point; if it opens downwards (the coefficient is negative), it has a maximum point. Therefore, a quadratic function cannot exhibit both extreme values simultaneously.
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).
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.
A quadratic function is a function whose rule is a polynomial of degree what?
Oh honey, a quadratic function is a function whose rule is a polynomial of degree 2. It's like the middle child of polynomials - not too simple, not too complex, just right. So next time you see that squared term, you know you're dealing with a quadratic function, sweetie.
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 can a quadratic function have both a maximum and a minimum point?
A quadratic function can only have either a maximum or a minimum point, not both. The shape of the graph, which is a parabola, determines this: if the parabola opens upwards (the coefficient of the (x^2) term is positive), it has a minimum point; if it opens downwards (the coefficient is negative), it has a maximum point. Therefore, a quadratic function cannot exhibit both extreme values simultaneously.
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.
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.
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 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?
kiki
How does changing the constant affect a graph?
Changing the constant in a function will shift the graph vertically but will not change the shape of the graph. For example, in a linear function, changing the constant term will only move the line up or down. In a quadratic function, changing the constant term will shift the parabola up or down.
