Question:
If \( x^2 - 6x + 9 = y \), what is the value of \( y \) when \( x = 4 \)?
If \( x^2 - 6x + 9 = y \), what is the value of \( y \) when \( x = 4 \)?
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When substituting a value into a quadratic equation, simplify the expression step by step to avoid mistakes.
Updated On: Oct 6, 2025
- \( 4 \)
- \( 5 \)
- \( 6 \)
- \( 7 \)
- \( 8 \)
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The Correct Option is A
Solution and Explanation
Step 1: We are given the equation \( y = x^2 - 6x + 9 \), and we are asked to find the value of \( y \) when \( x = 4 \).
Step 2: Substitute \( x = 4 \) into the equation:
\[
y = (4)^2 - 6(4) + 9 = 16 - 24 + 9.
\]
Step 3: Simplify the expression:
\[
y = 16 - 24 + 9 = 4.
\]
Thus, the value of \( y \) when \( x = 4 \) is \( 4 \).
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