This worksheet guides students through plotting quadratic graphs by first completing a table of values and then drawing the curves on the provided axes.

Problem Overview:

The task involves completing a table of values for two quadratic functions and then plotting their graphs. The functions are:
1. \( y = x^2 + 5 \)
2. \( y = x^2 - 10 \)

We need to calculate the values of \( y \) for \( x \) ranging from \(-2\) to \(2\), fill in the tables, and then plot the points on the provided grids.

---

Step 1: Solve for \( y = x^2 + 5 \)

#### Table Setup:
| \( x \) | \( x^2 \) | \( +5 \) | \( y \) | Coordinates |
|---------|-----------|----------|---------|-------------|
| \(-2\) | | | | |
| \(-1\) | | | | |
| \( 0 \) | | | | |
| \( 1 \) | | | | |
| \( 2 \) | | | | |

#### Calculate Values:
1. For \( x = -2 \):
\[
x^2 = (-2)^2 = 4
\]
\[
y = x^2 + 5 = 4 + 5 = 9
\]
Coordinates: \((-2, 9)\)

2. For \( x = -1 \):
\[
x^2 = (-1)^2 = 1
\]
\[
y = x^2 + 5 = 1 + 5 = 6
\]
Coordinates: \((-1, 6)\)

3. For \( x = 0 \):
\[
x^2 = 0^2 = 0
\]
\[
y = x^2 + 5 = 0 + 5 = 5
\]
Coordinates: \((0, 5)\)

4. For \( x = 1 \):
\[
x^2 = 1^2 = 1
\]
\[
y = x^2 + 5 = 1 + 5 = 6
\]
Coordinates: \((1, 6)\)

5. For \( x = 2 \):
\[
x^2 = 2^2 = 4
\]
\[
y = x^2 + 5 = 4 + 5 = 9
\]
Coordinates: \((2, 9)\)

#### Completed Table:
| \( x \) | \( x^2 \) | \( +5 \) | \( y \) | Coordinates |
|---------|-----------|----------|---------|-------------|
| \(-2\) | \( 4 \) | \( 9 \) | \( 9 \) | \((-2, 9)\) |
| \(-1\) | \( 1 \) | \( 6 \) | \( 6 \) | \((-1, 6)\) |
| \( 0 \) | \( 0 \) | \( 5 \) | \( 5 \) | \((0, 5)\) |
| \( 1 \) | \( 1 \) | \( 6 \) | \( 6 \) | \((1, 6)\) |
| \( 2 \) | \( 4 \) | \( 9 \) | \( 9 \) | \((2, 9)\) |

---

Step 2: Solve for \( y = x^2 - 10 \)

#### Table Setup:
| \( x \) | \( x^2 \) | \( -10 \) | \( y \) | Coordinates |
|---------|-----------|-----------|---------|-------------|
| \(-2\) | | | | |
| \(-1\) | | | | |
| \( 0 \) | | | | |
| \( 1 \) | | | | |
| \( 2 \) | | | | |

#### Calculate Values:
1. For \( x = -2 \):
\[
x^2 = (-2)^2 = 4
\]
\[
y = x^2 - 10 = 4 - 10 = -6
\]
Coordinates: \((-2, -6)\)

2. For \( x = -1 \):
\[
x^2 = (-1)^2 = 1
\]
\[
y = x^2 - 10 = 1 - 10 = -9
\]
Coordinates: \((-1, -9)\)

3. For \( x = 0 \):
\[
x^2 = 0^2 = 0
\]
\[
y = x^2 - 10 = 0 - 10 = -10
\]
Coordinates: \((0, -10)\)

4. For \( x = 1 \):
\[
x^2 = 1^2 = 1
\]
\[
y = x^2 - 10 = 1 - 10 = -9
\]
Coordinates: \((1, -9)\)

5. For \( x = 2 \):
\[
x^2 = 2^2 = 4
\]
\[
y = x^2 - 10 = 4 - 10 = -6
\]
Coordinates: \((2, -6)\)

#### Completed Table:
| \( x \) | \( x^2 \) | \( -10 \) | \( y \) | Coordinates |
|---------|-----------|-----------|---------|-------------|
| \(-2\) | \( 4 \) | \( -6 \) | \( -6 \)| \((-2, -6)\)|
| \(-1\) | \( 1 \) | \( -9 \) | \( -9 \)| \((-1, -9)\)|
| \( 0 \) | \( 0 \) | \( -10 \) | \( -10 \)| \((0, -10)\)|
| \( 1 \) | \( 1 \) | \( -9 \) | \( -9 \)| \((1, -9)\) |
| \( 2 \) | \( 4 \) | \( -6 \) | \( -6 \)| \((2, -6)\) |

---

Step 3: Plot the Points

#### For \( y = x^2 + 5 \):
- Plot the points: \((-2, 9)\), \((-1, 6)\), \((0, 5)\), \((1, 6)\), \((2, 9)\).
- Connect the points with a smooth parabolic curve.

#### For \( y = x^2 - 10 \):
- Plot the points: \((-2, -6)\), \((-1, -9)\), \((0, -10)\), \((1, -9)\), \((2, -6)\).
- Connect the points with a smooth parabolic curve.

---

Final Answer:

\[
\boxed{
\begin{array}{c}
\text{For } y = x^2 + 5: \\
\text{Coordinates: } (-2, 9), (-1, 6), (0, 5), (1, 6), (2, 9) \\
\text{For } y = x^2 - 10: \\
\text{Coordinates: } (-2, -6), (-1, -9), (0, -10), (1, -9), (2, -6)
\end{array}
}
\]