Each product is in the form ax^2+bx+c Which of the following describes the relationship between b and c? cis 1.5 times that of b. c is double b. c is the square of half of b. c is the,square of b.

To determine the relationship between \( b \) and \( c \) in the quadratic expression \( ax^2 + bx + c \), we need to analyze the given options:<br /><br />1. \( c \) is 1.5 times that of \( b \).<br />2. \( c \) is double \( b \).<br />3. \( c \) is the square of half of \( b \).<br />4. \( c \) is the square of \( b \).<br /><br />Let's analyze each option:<br /><br />1. \( c = 1.5b \)<br />2. \( c = 2b \)<br />3. \( c = \left(\frac{b}{2}\right)^2 = \frac{b^2}{4} \)<br />4. \( c = b^2 \)<br /><br />Given these options, the correct relationship between \( b \) and \( c \) is:<br /><br />\[ c = b^2 \]<br /><br />So, the correct answer is:<br /><br />\[ c \text{ is the square of } b. \]