Determin $$ x $$ and $$ y $$ interapts for Quadvatic equention Exencise $$ (H / w) $$ Find the $$ x $$ and $$ y $$ intercept of the following: $$ y=(x-3)(x+4 $$

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1. **Find the $$ x $$-intercepts:**

The $$ x $$-intercepts occur when $$ y=0 $$. Set the equation equal to zero:
   $$
   0 = (x-3)(x+4)
   $$
   
   This product is zero if either factor is zero:
   - If $$ x-3=0 $$, then $$ x=3 $$.
   - If $$ x+4=0 $$, then $$ x=-4 $$.

Thus, the $$ x $$-intercepts are $$ (3,0) $$ and $$ (-4,0) $$.

2. **Find the $$ y $$-intercept:**

The $$ y $$-intercept occurs when $$ x=0 $$. Substitute $$ x=0 $$ into the equation:
   $$
   y = (0-3)(0+4) = (-3)(4) = -12
   $$
   
   Thus, the $$ y $$-intercept is $$ (0,-12) $$.
The $$ x $$-intercepts are $$ (3,0) $$ and $$ (-4,0) $$, and the $$ y $$-intercept is $$ (0,-12) $$.

Determin and interapts for
Quadvatic equention
Exencise
Find the and intercept of the
following:

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Determin and interapts for Quadvatic equention Exencise Find the and intercept of the following: