Graph the equation. Select integers for x from minus3 to​ 3, inclusive.
y equals x squared plus 2
Question content area bottom left
Part 1
Use the graphing tool to graph the equation.

.
.
.
Question content area right
Part 1
-15
-12
-9
-6
-3
3
6
9
12
15
-15
-12
-9
-6
-3
3
6
9
12
15
x
y

Here is the graph of the equation \( y = x^2 + 2 \) for integer values of \( x \) from -3 to 3. The blue curve represents the quadratic function, and specific points have been plotted and labeled for clarity.

Would you like more details about the graph or the function?

Here are 5 related questions:
1. What are the characteristics of a quadratic function in general?
2. How does shifting the graph up by 2 units affect its shape?
3. What happens to the graph if we change the equation to \( y = x^2 - 2 \)?
4. Can you explain the symmetry of the graph about the y-axis?
5. How would the graph change if we multiplied the \( x^2 \) term by a constant?

**Tip**: Quadratic functions always have a parabolic shape, and the vertex represents the minimum or maximum point depending on whether the parabola opens upwards or downwards.

Graph the equation. Select integers for x from minus 3 to 3, inclusive. y equals x squared plus 2.

Learn how to graph the quadratic equation y = x^2 + 2 by selecting integer values of x from -3 to 3. This lesson covers key concepts of graphing quadratic functions, identifying the vertex, and exploring parabolic symmetry. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation