y = ax2 + bx + c
If a quadratic function is 0 for any value of the variable, then that value is a solution.
2 AND 9
Yes, the square root function is considered the inverse of a quadratic function, but only when the quadratic function is restricted to a specific domain. For example, the function ( f(x) = x^2 ) is a quadratic function, and its inverse, ( f^{-1}(x) = \sqrt{x} ), applies when ( x ) is non-negative (i.e., restricting the domain of the quadratic to ( x \geq 0 )). Without this restriction, the inverse would not be a function since a single output from the quadratic can correspond to two inputs.
A quadratic function is ax2+bx+c You can solve for x by using the quadratic formula, which, as the formula requires the use of square roots, would be tricky to put here.
If the highest exponent of independent variable(say x) is 2 and the highest exponent of dependent variable(say y) is 1 and x and y are not multiplied, then the function is quadratic. For example: 3x-y+x2= 2y-5x+7 represents a quadratic function but y= xy+x2+5 doesn't represent a quadratic function.
If a quadratic function is 0 for any value of the variable, then that value is a solution.
2 AND 9
Is it possible for a quadratic equation to have no real solution? please give an example and explain. Thank you
Yes, the square root function is considered the inverse of a quadratic function, but only when the quadratic function is restricted to a specific domain. For example, the function ( f(x) = x^2 ) is a quadratic function, and its inverse, ( f^{-1}(x) = \sqrt{x} ), applies when ( x ) is non-negative (i.e., restricting the domain of the quadratic to ( x \geq 0 )). Without this restriction, the inverse would not be a function since a single output from the quadratic can correspond to two inputs.
A quadratic function is ax2+bx+c You can solve for x by using the quadratic formula, which, as the formula requires the use of square roots, would be tricky to put here.
If the highest exponent of independent variable(say x) is 2 and the highest exponent of dependent variable(say y) is 1 and x and y are not multiplied, then the function is quadratic. For example: 3x-y+x2= 2y-5x+7 represents a quadratic function but y= xy+x2+5 doesn't represent a quadratic function.
A quadratic function is a noun. The plural form would be quadratic functions.
A quadratic function will have a degree of two.
A quadratic of the form ax2 + bx + c has no maximum if a > 0: it gets infinitely large. If a = 0 then it is not a quadratic. If a < 0 then the quadratic does have a maximum, and it is -D/4a where D is the discriminant = b2 - 4ac
Example: x squared - 5x + 6 = 0Solutions: 2 and 3
A quadratic function is a second degree polynomial, that is, is involves something raised to the power of 2, also know as squaring. Quadratus is Latin for square. Hence Quadratic.
it is a vertices's form of a function known as Quadratic