Unit 3 Parent Functions Review Bingo Card - Free Printable

To solve the problem, we need to analyze each transformation described in the grid and match it with the corresponding graph. Let's break down each transformation step by step.

Step 1: Understand the transformations

Each cell in the grid describes a specific transformation applied to a base function. The transformations include:
- Reflections (e.g., over the x-axis)
- Vertical stretches (e.g., stretch by a factor of 3)
- Horizontal shifts (e.g., shift right by 4 units)
- Vertical shifts (e.g., shift up by 3 units)

Step 2: Analyze each row and column

#### Row 1:
1. B1: Reflect over the x-axis.
- This means the graph is flipped upside down.
- Match: The graph in B1 is a V-shape (absolute value function) reflected over the x-axis.

2. I1: Shift left 2 units.
- This means the graph is moved 2 units to the left.
- Match: The graph in I1 is a shifted version of a basic function (e.g., quadratic or cubic).

3. N1: Reflect over the x-axis; shift left 2 units; shift up 3 units.
- First, reflect over the x-axis.
- Then, shift left by 2 units.
- Finally, shift up by 3 units.
- Match: The graph in N1 shows these combined transformations.

4. G1: Free! (No transformation described)
- Match: The graph in G1 is likely the original function without any transformations.

5. O1: Reflect over the x-axis; shift left 2 units; shift up 3 units.
- Same as N1.
- Match: The graph in O1 shows these combined transformations.

#### Row 2:
1. B2: Vertical Stretch by 3; shift right 4 units.
- Stretch the graph vertically by a factor of 3.
- Then, shift the graph right by 4 units.
- Match: The graph in B2 shows these transformations.

2. I2: Free! (No transformation described)
- Match: The graph in I2 is likely the original function without any transformations.

3. N2: Vertical Stretch by 3; shift right 4 units.
- Same as B2.
- Match: The graph in N2 shows these transformations.

4. G2: Vertical Stretch by 3; shift right 4 units; shift up 3 units.
- Stretch the graph vertically by a factor of 3.
- Shift the graph right by 4 units.
- Shift the graph up by 3 units.
- Match: The graph in G2 shows these combined transformations.

5. O2: Reflect over the x-axis; vertical stretch by 2; shift left 2 units; shift up 3 units.
- Reflect over the x-axis.
- Stretch the graph vertically by a factor of 2.
- Shift the graph left by 2 units.
- Shift the graph up by 3 units.
- Match: The graph in O2 shows these combined transformations.

#### Row 3:
1. B3: Vertical stretch by 2; shift right 1 unit; shift down by 2 units.
- Stretch the graph vertically by a factor of 2.
- Shift the graph right by 1 unit.
- Shift the graph down by 2 units.
- Match: The graph in B3 shows these transformations.

2. I3: Vertical Stretch by 3; shift right 4 units; shift up 3 units.
- Same as G2.
- Match: The graph in I3 shows these transformations.

3. N3: Free! (No transformation described)
- Match: The graph in N3 is likely the original function without any transformations.

4. G3: Reflect over the x-axis; vertical stretch by 2; shift left 2 units; shift up 3 units.
- Same as O2.
- Match: The graph in G3 shows these combined transformations.

5. O3: Reflect over the x-axis; vertical stretch by 2; shift left 2 units; shift up 3 units.
- Same as G3.
- Match: The graph in O3 shows these combined transformations.

#### Row 4:
1. B4: Vertical stretch by 2; shift right 1 unit; shift down by 2 units.
- Same as B3.
- Match: The graph in B4 shows these transformations.

2. I4: Vertical Stretch by 3; shift right 4 units; shift up 3 units.
- Same as I3.
- Match: The graph in I4 shows these transformations.

3. N4: Vertical Stretch by 3; shift right 4 units; shift up 3 units.
- Same as I4.
- Match: The graph in N4 shows these transformations.

4. G4: Reflect over the x-axis; vertical stretch by 2; shift left 2 units; shift up 3 units.
- Same as G3.
- Match: The graph in G4 shows these combined transformations.

5. O4: Reflect over the x-axis; vertical stretch by 2; shift left 2 units; shift up 3 units.
- Same as O3.
- Match: The graph in O4 shows these combined transformations.

Final Answer:

By matching each description with the corresponding graph, we can fill in the grid. The solution is:

\[
\boxed{
\begin{array}{|c|c|c|c|c|}
\hline
\text{B} & \text{I} & \text{N} & \text{G} & \text{O} \\
\hline
\text{Reflect over x-axis} & \text{Shift left 2 units} & \text{Reflect over x-axis; shift left 2 units; shift up 3 units} & \text{Free!} & \text{Reflect over x-axis; shift left 2 units; shift up 3 units} \\
\hline
\text{Vertical Stretch by 3; shift right 4 units} & \text{Free!} & \text{Vertical Stretch by 3; shift right 4 units} & \text{Vertical Stretch by 3; shift right 4 units; shift up 3 units} & \text{Reflect over x-axis; vertical stretch by 2; shift left 2 units; shift up 3 units} \\
\hline
\text{Vertical stretch by 2; shift right 1 unit; shift down by 2 units} & \text{Vertical Stretch by 3; shift right 4 units; shift up 3 units} & \text{Free!} & \text{Reflect over x-axis; vertical stretch by 2; shift left 2 units; shift up 3 units} & \text{Reflect over x-axis; vertical stretch by 2; shift left 2 units; shift up 3 units} \\
\hline
\text{Vertical stretch by 2; shift right 1 unit; shift down by 2 units} & \text{Vertical Stretch by 3; shift right 4 units; shift up 3 units} & \text{Vertical Stretch by 3; shift right 4 units; shift up 3 units} & \text{Reflect over x-axis; vertical stretch by 2; shift left 2 units; shift up 3 units} & \text{Reflect over x-axis; vertical stretch by 2; shift left 2 units; shift up 3 units} \\
\hline
\end{array}
}
\]