Question

Write an equation for a function that has the shape of y=absolute value x but stretched horizontally by a factor of 2, shifted up 5 units, and shifted 2 units to the left.

Answer 1

\[f(x)=\frac{1}{2}|x+2|+5\]

Answer 2

Awesome. Thank you! 1/2 comes from the 2 units to the left?

Answer 3

The \(1/2\) is the horizontal stretch, the \(+2\) is the horizontal shift to the left, and the \(+5\) is the vertical shift upward.

Answer 4

Beautiful! Thanks so much.

Answer 5

beautiful people