Question

without graphing, describe the transformation of each parabola or absolute value function.9) y = 2|x + 1

Answer 1

The parent function is

y = | x |

Therefore, the transformations that applied to the above that lead to y = 2 | x | + 1 will be described.

Now vertically stretching the parent function by a factor of 2 gives

y = 2 | x |

then shifting the function 1 unit upwards gives

y = 2 | x | + 1

Hence, the set transformations that lead to y = 2 | x | + 1 are vertical stretch by a 2 factor of 2 and vertical shift 1 unit up.