Question

consider the quadratic function f(x)=8x²−7x+6. what is the constant of the function?
○ −7
○ 6
○ 7
○ 8

Explanation:

Step1: Recall the form of a quadratic function

A quadratic function is generally written as \( f(x) = ax^2 + bx + c \), where \( a \) is the coefficient of \( x^2 \), \( b \) is the coefficient of \( x \), and \( c \) is the constant term (the term without a variable).

Step2: Identify the constant term in the given function

For the function \( f(x) = 8x^2 - 7x + 6 \), comparing it with the general form \( ax^2 + bx + c \), we can see that:

• The coefficient of \( x^2 \) (\( a \)) is \( 8 \).
• The coefficient of \( x \) (\( b \)) is \( -7 \).
• The constant term (\( c \)) is \( 6 \).

Answer:

B. 6