Given that and , what can we conclude about the value of ?

Question

Homi · Accepted Answer

Understand the Question

We are given the relation $y = x^2 + 6$ and the value $x = -1$ .
To find the value of $y$ , substitute $x = -1$ directly into the equation and simplify.

Step 1 · Calculate the value of $y$

Given $y = x^2 + 6$

Substitute $x = -1$

\begin{aligned} y &= (-1)^2 + 6 \\ &= 1 + 6 \\ &= 7 \end{aligned}

Answer

$y = 7$

Common Mistakes

Squaring Negative Numbers: Be careful with signs when squaring negative numbers: $(-1)^2 = 1$ , not $-1$ . Writing $-1^2 + 6 = 5$ is an incorrect sign error.

Question 4