Write an equation for for each translation of y=|x|
1. left 2 units
y = |x| consists of two 45 degree curves joined at the origin:
y = x for x>0, and y = -x for x < 0.
To move the curves to the left 2 units, you want the sign of the term inside the absolute value sign to change when x = -2 instead of x = 0.
Think about how you might do this.
why is math so hard i really need sum work please help ASAP
Math can be challenging at times, but with practice and the right approach, it can become easier to understand. I'm here to help, so let's break down the problem step by step.
To represent the translation of y = |x| left 2 units, we need to modify the equation. Here's how you can do it:
1. Start with the original equation: y = |x|.
2. To move the graph 2 units to the left, we need to subtract 2 from the value of x. This means we replace x with (x + 2) in the equation.
3. The new equation becomes: y = |x + 2|.
So, the equation for the translation of y = |x| left 2 units is y = |x + 2|.
Remember, understanding math takes time and practice. If you're struggling with a particular concept or problem, don't hesitate to seek additional resources or ask for help from a teacher or tutor.