The graph of f is translated a whole number of units horizontally and vertically to obtain the graph of k. The function f is defined by f(x)=X^2 Write down the expression for k(…

Question

The graph of f is translated a whole number of units horizontally and vertically to obtain the graph of k.

The function f is defined by
`f(x)=X^2`
Write down the expression for k(x)

Answer 1

Answer: k(x) = f(x+3)-2

We replace the input x with x+3 to shift the xy axis 3 units right (since each x is now 3 larger). This gives the illusion the parabola shifts 3 units left.

The -2 at the end shifts the parabola down 2 spaces.