Question

Match the following quadratic expressions with it's $y-$ intercepts.

• A. $0$
• B. $2$
• C. $-1$
• D. $9$

Answer 1

For any quadratic expression $y=f\left(x\right)=a{x}^2+bx+c,$ the $y-$ intercept is given as the value of $f\left(0\right).$
Using this, let's find out the $y$ intercepts for the given quadratic expressions.
$I.y=f\left(x\right)=3x^2-4x+2$
It's $y-$ intercept will be $f\left(0\right)=2$

$II.y=f\left(x\right)=(4x-1)(2x+1)$
It's $y-$ intercept will be $f\left(0\right)=(4\times 0-1)(2\times 0+1)=-1$

$III.y=f\left(x\right)=(4x-3{)}^2$
It's $y-$ intercept will be $f\left(0\right)=(4\times 0-3{)}^2=9$

$IV.y=f\left(x\right)=-(2x+3{)}^2+9$
It's $y-$ intercept will be $f\left(0\right)=-(2\times 0+3{)}^2+9=0$