Consider the quadratic function f(y) = 8y2 – 7y + 6. what is the constant of the function?
Answer Explanation in Detail
f(y) = 8y2 – 7y + 6
Comparing the equation with Quadratic Equation, f(x) = ax2 + bx + c
where c is the constant then,
c = 6 which means Constant is 6.
Quadratic Function is a polynomial function with one or more variables in which the highest-degree term is of the second degree. A quadratic polynomial may involve a univariate case which includes single variable , or a bivariate case that includes multiple variables such as x, y, and z .The above equation shows the single variable or say univariate quadratic function.
Quadratic Equation that include single variable ( univariate case) is
f(x) = ax2 + bx + c
- x is the variable, and
- a, b, and c represent the coefficients.
- a is a nonzero constant, b and c are constants of any value, and x is the independent variable.
The solutions to this equation are called the roots of the quadratic polynomial, and may be found through factorization, completing the square, graphing, Newton’s method, or through the use of the quadratic formula. The graph of a univariate quadratic function represents a parabola.
- If a > 0, the parabola opens upwards.
- If a < 0, the parabola opens downwards.
With a quadratic function, pairs of unique independent variables will produce the same dependent variable, with only one exception (the vertex ) for a given quadratic function. Unlike the slope of linear function, the slope of a quadratic function changes constantly.