Parent Functions and Transfromations

Identify the parent function of the graph. Options: Quadratic, Rational, Absolute Value, Cubic

Identify the parent function of the graph: Logarithmic, Linear, Absolute Value, Cubic

Identify the parent function of the graph: Quadratic, Square Root, Absolute Value, Cubic.

Equation of the graph: f(x) = (x -5)² + 1, f(x) = (x - 1)² - 5, f(x) = (x + 1)² - 5, f(x) = (x + 5)² +1

Write a quadratic function given the following transformations:
Up 3 units
Right 4 units

Write an absolute value function given the following transformations: Reflection across the x-axis, Right 2 units, Down 7 units.