Find the $$ x $$-intercepts for $$ \Rightarrow y=(x+2)^{2}-4 $$

Question

UpStudy AI · Accepted Answer

To find the $$ x $$-intercepts, we set $$ y = 0 $$ in the given equation:

$$
0 = (x+2)^2 - 4
$$

**Step 1: Isolate the squared term**

Add $$ 4 $$ to both sides:

$$
(x+2)^2 = 4
$$

**Step 2: Take the square root of both sides**

Taking the square root gives:

$$
x+2 = \pm 2
$$

**Step 3: Solve for $$ x $$**

For the positive square root:

$$
x+2 = 2 \quad \Rightarrow \quad x = 0
$$

For the negative square root:

$$
x+2 = -2 \quad \Rightarrow \quad x = -4
$$

Thus, the $$ x $$-intercepts are at $$ x = 0 $$ and $$ x = -4 $$.
The $$ x $$-intercepts are at $$ x = 0 $$ and $$ x = -4 $$.

Find the -intercepts for