Professional Analysis of Quadratic Function

What is the leading coefficient of the quadratic function represented by f(x)=8x²-7x+6?

Choose one:

a) 8

b) -7

c) 6

Answer:

The leading coefficient of the quadratic function represented by f(x)=8x²-7x+6 is 8.

When dealing with quadratic functions in the form f(x)=ax²+bx+c, the leading coefficient is the coefficient of the x² term, which in this case is 8. This coefficient determines the shape and direction of the parabola that represents the quadratic function.

In the given function f(x)=8x²-7x+6, the leading coefficient is 8, which means the parabola opens upwards.

The leading coefficient plays a crucial role in determining whether the quadratic function has a minimum or maximum value and in analyzing the behavior of the function as x approaches positive or negative infinity.