4) Find g(x) where g(x) is the translation 1 unit right of f(x)=x^2 4) Write your answer in the form a(x-h)^2+k where a, h, and k are integers. g(x)= square

## Step 1The problem asks us to find the function \(g(x)\), which is a translation of the function \(f(x) = x^2\) one unit to the right. ## Step 2The general form of a quadratic function is \(a(x-h)^2 + k\), where , , and are integers. In this form, represents the horizontal shift of the graph. If is positive, the graph shifts to the right; if is negative, the graph shifts to the left.## Step 3In this case, we are asked to shift the graph one unit to the right. This means we need to replace with in the general form of the quadratic function. ## Step 4The function \(f(x) = x^2\) has , , and . When we shift the graph one unit to the right, becomes , but and remain the same.## Step 5So, the function \(g(x)\) becomes \(g(x) = 1(x - (-1))^2 + 0\), which simplifies to \(g(x) = (x + 1)^2\).