Question

A quadratic function on a graph has a vertex at the point negative 3, -2 which of the following transformations translate the vertex to the 0, 0 a shift right three units and down two units shift left two units and down three units shift left 3 units and up to units shift right three units and up to units

Answer 1

To determine which transformation will translate the vertex of the quadratic function from the point (-3, -2) to the point (0, 0), we can break down the steps:

1. **Current Vertex**: (-3, -2)
2. **Target Vertex**: (0, 0)

To find the transformation, we need to see how to move from (-3, -2) to (0, 0):

- **Shift Right**: Moving from -3 to 0 horizontally requires a shift to the right by 3 units (since 0 - (-3) = 3).
- **Shift Up**: Moving from -2 to 0 vertically requires a shift up by 2 units (since 0 - (-2) = 2).

Putting these together, the transformation we need is:
- **Shift right 3 units** and **shift up 2 units**.

Looking at the options you provided:
- **Shift right three units and up two units** fits the required transformation.

So the correct transformation is **shift right three units and up two units**.