Question

the graph of f(x)=x² has been translated 4 units down. identify the new equation and the following attributes: The vertex, the Zeros, the y-intercept and explain if it has a minimum / maximum.

Answer 1

Draw the graph of function f(x) = x^2.

If the graph is translated down by 4 units the graph is,

The vertex of the function after translation is (0,-4).

The curve intersect the x axis at two points. So zeros are x = 2 and x = -2.

The curve intersect the y axis at y = -4. So y-intercept is -4.

The curve has minimum value and equal minimum value of the translated function is -4.