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When you multiply a quadratic function by a number what happens?
you cant. the quadratic function must be expressed as a number. Radicals and numbers dont mix
What is the maximum number of points of intersection when two circles and five straight lines intersect each other?
When two circles intersect, they can create a maximum of 2 intersection points. Each straight line can intersect with each of the two circles at a maximum of 2 points, contributing 10 points from the lines and circles. Additionally, the five straight lines can intersect each other, yielding a maximum of ( \binom{5}{2} = 10 ) intersection points. Therefore, the total maximum points of intersection are ( 2 + 10 + 10 = 22 ).
What function is used to determine highest number in a range?
The "maximum" function.
What is the maximum number of points of intersection when two circles and five strait lines intersect ecah other?
32
How many roots can a quadratic function have in total?
A quadratic function can have up to two roots. Depending on the discriminant (the expression under the square root in the quadratic formula), it can have two distinct real roots, one repeated real root, or no real roots at all (in which case the roots are complex). Therefore, the total number of roots, considering both real and complex, is always two.
What is the maximum number of times the graph of the quadratic function can cross the x-axis?
Two.
When you multiply a quadratic function by a number what happens?
you cant. the quadratic function must be expressed as a number. Radicals and numbers dont mix
Why does the discriminant determine the number and type of the solutions for a quadratic equation?
A quadratic equation is wholly defined by its coefficients. The solutions or roots of the quadratic can, therefore, be determined by a function of these coefficients - and this function called the quadratic formula. Within this function, there is one part that specifically determines the number and types of solutions it is therefore called the discriminant: it discriminates between the different types of solutions.
In general how many distinct solutions are there to a quadratic equation?
the maximum number of solutions to a quadratic equation is 2. However, usually there is only 1.
What is the maximum number of points of intersection when two circles and five straight lines intersect each other?
When two circles intersect, they can create a maximum of 2 intersection points. Each straight line can intersect with each of the two circles at a maximum of 2 points, contributing 10 points from the lines and circles. Additionally, the five straight lines can intersect each other, yielding a maximum of ( \binom{5}{2} = 10 ) intersection points. Therefore, the total maximum points of intersection are ( 2 + 10 + 10 = 22 ).
What function is used to determine highest number in a range?
The "maximum" function.
What is the determinant of a quadratic function?
It is the equation inside the square root of the Quadratic FormulaIf > 0 there is a solutionIf < 0 there is no solutionBecause you can not calculate the Square Root of a Negative Number
What is the maximum number of points of intersection when two circles and five strait lines intersect ecah other?
32
What is the maximum number of times 2 planes can intersect?
In three-dimensional space, two planes can either:* not intersect at all, * intersect in a line, * or they can be the same plane; in this case, the intersection is an entire plane.
In the case of a quadratic function what is the number of x and y intercepts the function may have?
The greatest possible number of intercepts is: 2 of one axis and 1 of the other axis.The smallest possible number of intercepts is: One of each axis.
What variable in a quadratic function causes the function to transform reflect or have a vertical stretch or shrink?
The wording is confusing, as a quadratic function is normally a function of one variable. If you mean the graph of y = f(x) where f is a quadratic function, then changes to the variable y will do some of those things. The transformation y --> -y will reflect the graph about the x-axis. The transformation y --> Ay (where A is real number) will cause the graph to stretch or shrink vertically. The transformation y --> y+A will translate it up or down.
Does a constant function intersect the x axis?
Only if y = 0 then it is the entire x-axis. Otherwise, for y = k and k is any number except zero, the graph is parallel to the x-axis and does not intersect.
