Question

for the quadratic f (x) = x² - 3x + 4, match the coefficients to the correct value. b = a = c = 1 -3 4

Explanation:

Step1: Recall quadratic form

A quadratic function is in the form \( f(x) = ax^2 + bx + c \), where \( a \) is the coefficient of \( x^2 \), \( b \) is the coefficient of \( x \), and \( c \) is the constant term.

Step2: Identify \( a \)

For \( f(x) = x^2 - 3x + 4 \), the coefficient of \( x^2 \) is \( 1 \), so \( a = 1 \).

Step3: Identify \( b \)

The coefficient of \( x \) is \( -3 \), so \( b = -3 \).

Step4: Identify \( c \)

The constant term is \( 4 \), so \( c = 4 \).

Answer:

\( b = -3 \), \( a = 1 \), \( c = 4 \)